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12212227040 = 2551343136541
BaseRepresentation
bin10110101111110011…
…11100101111100000
31011112002110102010012
423113321330233200
5200002312231130
65335450224052
7611426134316
oct132771745740
934462412105
1012212227040
1151a7535a22
122449a25028
1311c8110260
1483bca40b6
154b71e2995
hex2d7e7cbe0

12212227040 has 96 divisors (see below), whose sum is σ = 31793531616. Its totient is φ = 4404234240.

The previous prime is 12212227031. The next prime is 12212227073. The reversal of 12212227040 is 4072221221.

It is a junction number, because it is equal to n+sod(n) for n = 12212226997 and 12212227015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21170 + ... + 157710.

It is an arithmetic number, because the mean of its divisors is an integer number (331182621).

Almost surely, 212212227040 is an apocalyptic number.

12212227040 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 12212227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896765808).

12212227040 is an abundant number, since it is smaller than the sum of its proper divisors (19581304576).

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

12212227040 is a wasteful number, since it uses less digits than its factorization.

12212227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136612 (or 136604 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 12212227040 its reverse (4072221221), we get a palindrome (16284448261).

The spelling of 12212227040 in words is "twelve billion, two hundred twelve million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 65 80 86 104 130 160 172 208 215 260 344 416 430 520 559 688 860 1040 1118 1376 1720 2080 2236 2795 3440 4472 5590 6880 8944 11180 17888 22360 44720 89440 136541 273082 546164 682705 1092328 1365410 1775033 2184656 2730820 3550066 4369312 5461640 5871263 7100132 8875165 10923280 11742526 14200264 17750330 21846560 23485052 28400528 29356315 35500660 46970104 56801056 58712630 71001320 76326419 93940208 117425260 142002640 152652838 187880416 234850520 284005280 305305676 381632095 469701040 610611352 763264190 939402080 1221222704 1526528380 2442445408 3053056760 6106113520 12212227040