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12100122222120 = 2332533611450617
BaseRepresentation
bin1011000000010100011101…
…1111001001111000101000
31120211202112022200222021100
42300011013133021320220
53041222022242101440
641422415220441400
72356130210605512
oct260050737117050
946752468628240
1012100122222120
1139456a65aa219
121435102549260
1369a0626237ba
142db912d76bb2
1515eb42c4e230
hexb01477c9e28

12100122222120 has 48 divisors (see below), whose sum is σ = 39325397223060. Its totient is φ = 3226699259136.

The previous prime is 12100122222113. The next prime is 12100122222137. The reversal of 12100122222120 is 2122222100121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11847790811844 + 252331410276 = 3442062^2 + 502326^2 .

It is a super-3 number, since 3×121001222221203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12100122222093 and 12100122222102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16805724949 + ... + 16805725668.

Almost surely, 212100122222120 is an apocalyptic number.

12100122222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100122222120 is an abundant number, since it is smaller than the sum of its proper divisors (27225275000940).

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

12100122222120 is a wasteful number, since it uses less digits than its factorization.

12100122222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33611450634 (or 33611450627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12100122222120 its reverse (2122222100121), we get a palindrome (14222344322241).

The spelling of 12100122222120 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33611450617 67222901234 100834351851 134445802468 168057253085 201668703702 268891604936 302503055553 336114506170 403337407404 504171759255 605006111106 672229012340 806674814808 1008343518510 1210012222212 1344458024680 1512515277765 2016687037020 2420024444424 3025030555530 4033374074040 6050061111060 12100122222120