213212010000 has 400 divisors, whose sum is σ = 758400084288. Its totient is φ = 51168000000.

The previous prime is 213212009987. The next prime is 213212010103. The reversal of 213212010000 is 10212312.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×213212010000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33326802 + ... + 33333198.

Almost surely, 2^213212010000 is an apocalyptic number.

213212010000 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 213212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379200042144).

213212010000 is an abundant number, since it is smaller than the sum of its proper divisors (545188074288).

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

213212010000 is a wasteful number, since it uses less digits than its factorization.

213212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213212010000 its reverse (10212312), we get a palindrome (213222222312).

The spelling of 213212010000 in words is "two hundred thirteen billion, two hundred twelve million, ten thousand".