202212210112000 has 160 divisors (see below), whose sum is σ = 550067766472224. Its totient is φ = 73531712512000.

The previous prime is 202212210111953. The next prime is 202212210112007. The reversal of 202212210112000 is 211012212202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212210112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142912627 + ... + 144320626.

Almost surely, 2^{202212210112000} is an apocalyptic number.

202212210112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212210112000 is an abundant number, since it is smaller than the sum of its proper divisors (347855556360224).

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

202212210112000 is an equidigital number, since it uses as much as digits as its factorization.

202212210112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287233297 (or 287233271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202212210112000 its reverse (211012212202), we get a palindrome (202423222324202).

The spelling of 202212210112000 in words is "two hundred two trillion, two hundred twelve billion, two hundred ten million, one hundred twelve thousand".