202012020112000 has 384 divisors, whose sum is σ = 604399489808400. Its totient is φ = 66872937062400.

The previous prime is 202012020111857. The next prime is 202012020112027. The reversal of 202012020112000 is 211020210202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3402076958784 + 198609943153216 = 1844472^2 + 14092904^2 .

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, 18293442 + ... + 27178558.

Almost surely, 2^{202012020112000} is an apocalyptic number.

202012020112000 is a gapful number since it is divisible by the number (20) 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 202012020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302199744904200).

202012020112000 is an abundant number, since it is smaller than the sum of its proper divisors (402387469696400).

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

202012020112000 is an equidigital number, since it uses as much as digits as its factorization.

202012020112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8885189 (or 8885160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202012020112000 its reverse (211020210202), we get a palindrome (202223040322202).

The spelling of 202012020112000 in words is "two hundred two trillion, twelve billion, twenty million, one hundred twelve thousand".