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12022110100020 = 22351722951468919
BaseRepresentation
bin1010111011110001110110…
…0110100001101000110100
31120120022011112010120002210
42232330131212201220310
53033432240141200040
641322514154133420
72350366044530346
oct256743546415064
946508145116083
1012022110100020
113915603810239
121421b70421270
136928ac2b05c7
142d7c3221d296
1515cac904b480
hexaef1d9a1a34

12022110100020 has 96 divisors (see below), whose sum is σ = 35797663238400. Its totient is φ = 3004137805824.

The previous prime is 12022110099997. The next prime is 12022110100043. The reversal of 12022110100020 is 2000101122021.

It is an interprime number because it is at equal distance from previous prime (12022110099997) and next prime (12022110100043).

It is a super-2 number, since 2×120221101000202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12022110099969 and 12022110100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25500880 + ... + 25968039.

It is an arithmetic number, because the mean of its divisors is an integer number (372892325400).

Almost surely, 212022110100020 is an apocalyptic number.

12022110100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022110100020 is an abundant number, since it is smaller than the sum of its proper divisors (23775553138380).

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

12022110100020 is a wasteful number, since it uses less digits than its factorization.

12022110100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51469177 (or 51469175 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12022110100020 its reverse (2000101122021), we get a palindrome (14022211222041).

The spelling of 12022110100020 in words is "twelve trillion, twenty-two billion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 229 255 340 458 510 687 916 1020 1145 1374 2290 2748 3435 3893 4580 6870 7786 11679 13740 15572 19465 23358 38930 46716 58395 77860 116790 233580 51468919 102937838 154406757 205875676 257344595 308813514 514689190 617627028 772033785 874971623 1029378380 1544067570 1749943246 2624914869 3088135140 3499886492 4374858115 5249829738 8749716230 10499659476 11786382451 13124574345 17499432460 23572764902 26249148690 35359147353 47145529804 52498297380 58931912255 70718294706 117863824510 141436589412 176795736765 200368501667 235727649020 353591473530 400737003334 601105505001 707182947060 801474006668 1001842508335 1202211010002 2003685016670 2404422020004 3005527525005 4007370033340 6011055050010 12022110100020