202112122000 has 160 divisors (see below), whose sum is σ = 493750183680. Its totient is φ = 80015129600.

The previous prime is 202112121997. The next prime is 202112122007. The reversal of 202112122000 is 221211202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202112122007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83412789 + ... + 83415211.

It is an arithmetic number, because the mean of its divisors is an integer number (3085938648).

Almost surely, 2^202112122000 is an apocalyptic number.

202112122000 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 202112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246875091840).

202112122000 is an abundant number, since it is smaller than the sum of its proper divisors (291638061680).

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

202112122000 is a wasteful number, since it uses less digits than its factorization.

202112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2842 counting only the distinct ones).

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

Adding to 202112122000 its reverse (221211202), we get a palindrome (202333333202).

The spelling of 202112122000 in words is "two hundred two billion, one hundred twelve million, one hundred twenty-two thousand".