212305132024000 has 224 divisors, whose sum is σ = 537731058623616. Its totient is φ = 83002901196800.

The previous prime is 212305132023989. The next prime is 212305132024033. The reversal of 212305132024000 is 420231503212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110560062 + ... + 112463938.

Almost surely, 2^{212305132024000} is an apocalyptic number.

212305132024000 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 212305132024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268865529311808).

212305132024000 is an abundant number, since it is smaller than the sum of its proper divisors (325425926599616).

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

212305132024000 is a wasteful number, since it uses less digits than its factorization.

212305132024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904220 (or 1904200 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 212305132024000 its reverse (420231503212), we get a palindrome (212725363527212).

The spelling of 212305132024000 in words is "two hundred twelve trillion, three hundred five billion, one hundred thirty-two million, twenty-four thousand".