112012202000 has 80 divisors (see below), whose sum is σ = 271324263600. Its totient is φ = 44725683200.

The previous prime is 112012201979. The next prime is 112012202039. The reversal of 112012202000 is 202210211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43290628096 + 68721573904 = 208064^2 + 262148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088786 + ... + 1187214.

It is an arithmetic number, because the mean of its divisors is an integer number (3391553295).

Almost surely, 2^112012202000 is an apocalyptic number.

112012202000 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 112012202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135662131800).

112012202000 is an abundant number, since it is smaller than the sum of its proper divisors (159312061600).

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

112012202000 is an equidigital number, since it uses as much as digits as its factorization.

112012202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99021 (or 99005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112012202000 its reverse (202210211), we get a palindrome (112214412211).

The spelling of 112012202000 in words is "one hundred twelve billion, twelve million, two hundred two thousand".