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21222211000120 = 2351379516606889
BaseRepresentation
bin1001101001101001011100…
…10110010001011100111000
32210010211020101002022212021
410310310232112101130320
510240201042004000440
6113045203225324224
74320153113064214
oct464645626213470
983124211068767
1021222211000120
11684231a936279
12246900b636674
13bac327359860
1453523656d944
1526c08997d84a
hex134d2e591738

21222211000120 has 64 divisors (see below), whose sum is σ = 52073974512000. Its totient is φ = 7736704754688.

The previous prime is 21222211000103. The next prime is 21222211000153. The reversal of 21222211000120 is 2100011222212.

It is a happy number.

It is a super-2 number, since 2×212222110001202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21222211000094 and 21222211000103.

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, 258262365 + ... + 258344524.

It is an arithmetic number, because the mean of its divisors is an integer number (813655851750).

Almost surely, 221222211000120 is an apocalyptic number.

21222211000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222211000120 is an abundant number, since it is smaller than the sum of its proper divisors (30851763511880).

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

21222211000120 is a wasteful number, since it uses less digits than its factorization.

21222211000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516606992 (or 516606988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21222211000120 its reverse (2100011222212), we get a palindrome (23322222222332).

The spelling of 21222211000120 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 1027 1580 2054 3160 4108 5135 8216 10270 20540 41080 516606889 1033213778 2066427556 2583034445 4132855112 5166068890 6715889557 10332137780 13431779114 20664275560 26863558228 33579447785 40811944231 53727116456 67158895570 81623888462 134317791140 163247776924 204059721155 268635582280 326495553848 408119442310 530555275003 816238884620 1061110550006 1632477769240 2122221100012 2652776375015 4244442200024 5305552750030 10611105500060 21222211000120