112002032900 has 72 divisors (see below), whose sum is σ = 253054402440. Its totient is φ = 42991488000.

The previous prime is 112002032881. The next prime is 112002032939. The reversal of 112002032900 is 9230200211.

112002032900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 107563009024 + 4439023876 = 327968^2 + 66626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26186 + ... + 474014.

Almost surely, 2^112002032900 is an apocalyptic number.

112002032900 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 112002032900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126527201220).

112002032900 is an abundant number, since it is smaller than the sum of its proper divisors (141052369540).

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

112002032900 is a wasteful number, since it uses less digits than its factorization.

112002032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447945 (or 447938 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 112002032900 in words is "one hundred twelve billion, two million, thirty-two thousand, nine hundred".