213212302000 has 80 divisors (see below), whose sum is σ = 518962302144. Its totient is φ = 84720000000.

The previous prime is 213212301971. The next prime is 213212302007. The reversal of 213212302000 is 203212312.

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 (16).

It is not an unprimeable number, because it can be changed into a prime (213212302007) 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, 51001 + ... + 655000.

Almost surely, 2^213212302000 is an apocalyptic number.

213212302000 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 213212302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259481151072).

213212302000 is an abundant number, since it is smaller than the sum of its proper divisors (305750000144).

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

213212302000 is a wasteful number, since it uses less digits than its factorization.

213212302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706175 (or 706159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213212302000 its reverse (203212312), we get a palindrome (213415514312).

The spelling of 213212302000 in words is "two hundred thirteen billion, two hundred twelve million, three hundred two thousand".