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12101112120 = 2335304133161
BaseRepresentation
bin10110100010100100…
…00101000100111000
31011020100101012002210
423101102011010320
5144240341041440
65320440455120
7605606520156
oct132122050470
934210335083
1012101112120
11514a842709
12241877a4a0
1311ab0a7596
1482b21c3d6
154ac594a80
hex2d1485138

12101112120 has 64 divisors (see below), whose sum is σ = 36316369440. Its totient is φ = 3225804800.

The previous prime is 12101112109. The next prime is 12101112139. The reversal of 12101112120 is 2121110121.

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 = 12101112096 and 12101112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348340 + ... + 381500.

Almost surely, 212101112120 is an apocalyptic number.

12101112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101112120 is an abundant number, since it is smaller than the sum of its proper divisors (24215257320).

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

12101112120 is a wasteful number, since it uses less digits than its factorization.

12101112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36216 (or 36212 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101112120 its reverse (2121110121), we get a palindrome (14222222241).

The spelling of 12101112120 in words is "twelve billion, one hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3041 6082 9123 12164 15205 18246 24328 30410 33161 36492 45615 60820 66322 72984 91230 99483 121640 132644 165805 182460 198966 265288 331610 364920 397932 497415 663220 795864 994830 1326440 1989660 3979320 100842601 201685202 302527803 403370404 504213005 605055606 806740808 1008426010 1210111212 1512639015 2016852020 2420222424 3025278030 4033704040 6050556060 12101112120