112011812640 has 864 divisors, whose sum is σ = 504131584320. Its totient is φ = 22385922048.

The previous prime is 112011812629. The next prime is 112011812651. The reversal of 112011812640 is 46218110211.

It is a happy number.

112011812640 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 1 + 8 + 12 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (112011812629) and next prime (112011812651).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17425107 + ... + 17431533.

It is an arithmetic number, because the mean of its divisors is an integer number (583485630).

Almost surely, 2^112011812640 is an apocalyptic number.

112011812640 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 112011812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252065792160).

112011812640 is an abundant number, since it is smaller than the sum of its proper divisors (392119771680).

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

112011812640 is a wasteful number, since it uses less digits than its factorization.

112011812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6494 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 112011812640 its reverse (46218110211), we get a palindrome (158229922851).

The spelling of 112011812640 in words is "one hundred twelve billion, eleven million, eight hundred twelve thousand, six hundred forty".