213242001122000 has 80 divisors (see below), whose sum is σ = 515657642454864. Its totient is φ = 85290434240000.

The previous prime is 213242001121943. The next prime is 213242001122083. The reversal of 213242001122000 is 221100242312.

It can be written as a sum of positive squares in 8 ways, for example, as 3431874811024 + 209810126310976 = 1852532^2 + 14484824^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 22869830 + ... + 30814170.

Almost surely, 2^{213242001122000} is an apocalyptic number.

213242001122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213242001122000 is an abundant number, since it is smaller than the sum of its proper divisors (302415641332864).

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

213242001122000 is a wasteful number, since it uses less digits than its factorization.

213242001122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957785 (or 7957769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213242001122000 its reverse (221100242312), we get a palindrome (213463101364312).

The spelling of 213242001122000 in words is "two hundred thirteen trillion, two hundred forty-two billion, one million, one hundred twenty-two thousand".