112211679029472 has 288 divisors, whose sum is σ = 348904911753216. Its totient is φ = 33926102246400.

The previous prime is 112211679029459. The next prime is 112211679029479. The reversal of 112211679029472 is 274920976112211.

112211679029472 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 1 + 67 + 90 + 29 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112211679029472² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211679029479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2490636898 + ... + 2490681950.

It is an arithmetic number, because the mean of its divisors is an integer number (1211475388032).

Almost surely, 2^{112211679029472} is an apocalyptic number.

112211679029472 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 112211679029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174452455876608).

112211679029472 is an abundant number, since it is smaller than the sum of its proper divisors (236693232723744).

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

112211679029472 is a wasteful number, since it uses less digits than its factorization.

112211679029472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46854 (or 46843 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 112211679029472 in words is "one hundred twelve trillion, two hundred eleven billion, six hundred seventy-nine million, twenty-nine thousand, four hundred seventy-two".