212112202002000 has 160 divisors (see below), whose sum is σ = 684958097625984. Its totient is φ = 56471578240000.

The previous prime is 212112202001891. The next prime is 212112202002007. The reversal of 212112202002000 is 200202211212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112202002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24946326 + ... + 32350325.

Almost surely, 2^{212112202002000} is an apocalyptic number.

212112202002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112202002000 is an abundant number, since it is smaller than the sum of its proper divisors (472845895623984).

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

212112202002000 is a wasteful number, since it uses less digits than its factorization.

212112202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57297294 (or 57297278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212112202002000 its reverse (200202211212), we get a palindrome (212312404213212).

The spelling of 212112202002000 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred two million, two thousand".