112210127239392 has 1152 divisors, whose sum is σ = 415937296180224. Its totient is φ = 28967544373248.

The previous prime is 112210127239373. The next prime is 112210127239409. The reversal of 112210127239392 is 293932721012211.

112210127239392 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 0 + 1 + 27 + 239 + 392 = 666.

It is a super-2 number, since 2×112210127239392² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17139163863 + ... + 17139170409.

It is an arithmetic number, because the mean of its divisors is an integer number (361056680712).

Almost surely, 2^{112210127239392} is an apocalyptic number.

112210127239392 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 112210127239392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207968648090112).

112210127239392 is an abundant number, since it is smaller than the sum of its proper divisors (303727168940832).

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

112210127239392 is a wasteful number, since it uses less digits than its factorization.

112210127239392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 112210127239392 in words is "one hundred twelve trillion, two hundred ten billion, one hundred twenty-seven million, two hundred thirty-nine thousand, three hundred ninety-two".