112920605952 has 432 divisors, whose sum is σ = 387362658816. Its totient is φ = 28369612800.

The previous prime is 112920605923. The next prime is 112920605981. The reversal of 112920605952 is 259506029211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112920605923) and next prime (112920605981).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56828703 + ... + 56830689.

Almost surely, 2^112920605952 is an apocalyptic number.

112920605952 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 112920605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193681329408).

112920605952 is an abundant number, since it is smaller than the sum of its proper divisors (274442052864).

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

112920605952 is a wasteful number, since it uses less digits than its factorization.

112920605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 112920605952 in words is "one hundred twelve billion, nine hundred twenty million, six hundred five thousand, nine hundred fifty-two".