| Base | Representation |
|---|---|
| bin | 110100010110001001… |
| … | …1000001000000000000 |
| 3 | 101202011012122010210220 |
| 4 | 1220230103001000000 |
| 5 | 3320210024111112 |
| 6 | 123350322223040 |
| 7 | 11056453025310 |
| oct | 1505423010000 |
| 9 | 352135563726 |
| 10 | 112412332032 |
| 11 | 43745915950 |
| 12 | 199527b4a80 |
| 13 | a7a6212a00 |
| 14 | 5625733440 |
| 15 | 2dcdca798c |
| hex | 1a2c4c1000 |
112412332032 has 1248 divisors, whose sum is σ = 437454443520. Its totient is φ = 24843386880.
The previous prime is 112412332003. The next prime is 112412332049. The reversal of 112412332032 is 230233214211.
112412332032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1248).
It is a super-2 number, since 2×1124123320322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 112412331993 and 112412332011.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3038171118 + ... + 3038171154.
Almost surely, 2112412332032 is an apocalyptic number.
112412332032 is a gapful number since it is divisible by the number (12) 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 112412332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218727221760).
112412332032 is an abundant number, since it is smaller than the sum of its proper divisors (325042111488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112412332032 is a wasteful number, since it uses less digits than its factorization.
112412332032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 127 (or 92 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 112412332032 its reverse (230233214211), we get a palindrome (342645546243).
It can be divided in two parts, 112412 and 332032, that added together give a palindrome (444444).
The spelling of 112412332032 in words is "one hundred twelve billion, four hundred twelve million, three hundred thirty-two thousand, thirty-two".
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