112032333012000 has 384 divisors, whose sum is σ = 395939462300928. Its totient is φ = 27587389440000.

The previous prime is 112032333011959. The next prime is 112032333012031. The reversal of 112032333012000 is 210333230211.

It is a super-2 number, since 2×112032333012000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5631075 + ... + 15992925.

It is an arithmetic number, because the mean of its divisors is an integer number (1031092349742).

Almost surely, 2^{112032333012000} is an apocalyptic number.

112032333012000 is a gapful number since it is divisible by the number (10) 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 112032333012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197969731150464).

112032333012000 is an abundant number, since it is smaller than the sum of its proper divisors (283907129288928).

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

112032333012000 is a wasteful number, since it uses less digits than its factorization.

112032333012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361949 (or 10361931 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 112032333012000 its reverse (210333230211), we get a palindrome (112242666242211).

The spelling of 112032333012000 in words is "one hundred twelve trillion, thirty-two billion, three hundred thirty-three million, twelve thousand".