212321313000 has 192 divisors, whose sum is σ = 759861058320. Its totient is φ = 53288448000.

The previous prime is 212321312999. The next prime is 212321313011. The reversal of 212321313000 is 313123212.

212321313000 is a `hidden beast` number, since 2 + 1 + 232 + 131 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4489268004 + 207832044996 = 67002^2 + 455886^2 .

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 47 ways as a sum of consecutive naturals, for example, 540861 + ... + 846860.

Almost surely, 2^212321313000 is an apocalyptic number.

212321313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212321313000 is an abundant number, since it is smaller than the sum of its proper divisors (547539745320).

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

212321313000 is a wasteful number, since it uses less digits than its factorization.

212321313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387765 (or 1387748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212321313000 its reverse (313123212), we get a palindrome (212634436212).

The spelling of 212321313000 in words is "two hundred twelve billion, three hundred twenty-one million, three hundred thirteen thousand".