212813720 has 64 divisors (see below), whose sum is σ = 551016000. Its totient is φ = 72460800.

The previous prime is 212813719. The next prime is 212813723. The reversal of 212813720 is 27318212.

It is a self number, because there is not a number n which added to its sum of digits gives 212813720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212813723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39170 + ... + 44270.

It is an arithmetic number, because the mean of its divisors is an integer number (8609625).

Almost surely, 2^212813720 is an apocalyptic number.

212813720 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 212813720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275508000).

212813720 is an abundant number, since it is smaller than the sum of its proper divisors (338202280).

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

212813720 is a wasteful number, since it uses less digits than its factorization.

212813720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 212813720 is about 14588.1362757550. The cubic root of 212813720 is about 597.0351139577.

The spelling of 212813720 in words is "two hundred twelve million, eight hundred thirteen thousand, seven hundred twenty".