213211152000 has 2304 divisors, whose sum is σ = 1010235058560. Its totient is φ = 42577920000.

The previous prime is 213211151977. The next prime is 213211152013. The reversal of 213211152000 is 251112312.

213211152000 is a `hidden beast` number, since 2 + 1 + 32 + 111 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3182255967 + ... + 3182256033.

Almost surely, 2^213211152000 is an apocalyptic number.

213211152000 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 213211152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505117529280).

213211152000 is an abundant number, since it is smaller than the sum of its proper divisors (797023906560).

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

213211152000 is a wasteful number, since it uses less digits than its factorization.

213211152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 213211152000 its reverse (251112312), we get a palindrome (213462264312).

The spelling of 213211152000 in words is "two hundred thirteen billion, two hundred eleven million, one hundred fifty-two thousand".