212247409920 has 576 divisors, whose sum is σ = 883396523520. Its totient is φ = 42146463744.

The previous prime is 212247409877. The next prime is 212247409963. The reversal of 212247409920 is 29904742212.

It is an interprime number because it is at equal distance from previous prime (212247409877) and next prime (212247409963).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5922616 + ... + 5958344.

It is an arithmetic number, because the mean of its divisors is an integer number (1533674520).

Almost surely, 2^212247409920 is an apocalyptic number.

212247409920 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 212247409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441698261760).

212247409920 is an abundant number, since it is smaller than the sum of its proper divisors (671149113600).

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

212247409920 is a wasteful number, since it uses less digits than its factorization.

212247409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35790 (or 35776 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 212247409920 in words is "two hundred twelve billion, two hundred forty-seven million, four hundred nine thousand, nine hundred twenty".