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12222110002000 = 245391914234673
BaseRepresentation
bin1011000111011010111010…
…0001100110101101010000
31121021102101212020021010211
42301312232201212231100
53100221340130031000
641554432042133504
72401006164615523
oct261665641465520
947242355207124
1012222110002000
113992405514828
121454887ab1294
136a8703596c82
143037a62b6bba
15162dd24a17ba
hexb1dae866b50

12222110002000 has 160 divisors (see below), whose sum is σ = 29612346117120. Its totient is φ = 4879048089600.

The previous prime is 12222110001799. The next prime is 12222110002001. The reversal of 12222110002000 is 20001122221.

It is a happy number.

12222110002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222110002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615471664 + ... + 2615476336.

It is an arithmetic number, because the mean of its divisors is an integer number (185077163232).

Almost surely, 212222110002000 is an apocalyptic number.

12222110002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806173058560).

12222110002000 is an abundant number, since it is smaller than the sum of its proper divisors (17390236115120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12222110002000 is a wasteful number, since it uses less digits than its factorization.

12222110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12222110002000 its reverse (20001122221), we get a palindrome (12242111124221).

The spelling of 12222110002000 in words is "twelve trillion, two hundred twenty-two billion, one hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 919 1000 1423 1838 2000 2846 3676 4595 4673 5692 7115 7352 9190 9346 11384 14230 14704 18380 18692 22768 22975 23365 28460 35575 36760 37384 45950 46730 56920 71150 73520 74768 91900 93460 113840 114875 116825 142300 177875 183800 186920 229750 233650 284600 355750 367600 373840 459500 467300 569200 584125 711500 919000 934600 1168250 1307737 1423000 1838000 1869200 2336500 2615474 2846000 4294487 4673000 5230948 6538685 6649679 8588974 9346000 10461896 13077370 13299358 17177948 20923792 21472435 26154740 26598716 32693425 33248395 34355896 42944870 52309480 53197432 65386850 66496790 68711792 85889740 104618960 106394864 107362175 130773700 132993580 163467125 166241975 171779480 214724350 261547400 265987160 326934250 332483950 343558960 429448700 523094800 531974320 536810875 653868500 664967900 831209875 858897400 1073621750 1307737000 1329935800 1662419750 1717794800 2147243500 2615474000 2659871600 3324839500 4294487000 6111055001 6649679000 8588974000 12222110002 13299358000 24444220004 30555275005 48888440008 61110550010 97776880016 122221100020 152776375025 244442200040 305552750050 488884400080 611105500100 763881875125 1222211000200 1527763750250 2444422000400 3055527500500 6111055001000 12222110002000