212322132000000 has 3024 divisors, whose sum is σ = 879878998654656. Its totient is φ = 48771072000000.

The previous prime is 212322131999981. The next prime is 212322132000019. The reversal of 212322132000000 is 231223212.

212322132000000 is a `hidden beast` number, since 2 + 123 + 221 + 320 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212322131999981) and next prime (212322132000019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 630035999832 + ... + 630036000168.

Almost surely, 2^{212322132000000} is an apocalyptic number.

212322132000000 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 212322132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439939499327328).

212322132000000 is an abundant number, since it is smaller than the sum of its proper divisors (667556866654656).

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

212322132000000 is an equidigital number, since it uses as much as digits as its factorization.

212322132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212322132000000 its reverse (231223212), we get a palindrome (212322363223212).

The spelling of 212322132000000 in words is "two hundred twelve trillion, three hundred twenty-two billion, one hundred thirty-two million", and thus it is an aban number.