212553120 has 192 divisors, whose sum is σ = 752903424. Its totient is φ = 50012160.

The previous prime is 212553109. The next prime is 212553137. The reversal of 212553120 is 21355212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142780 + ... + 144260.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^212553120 is an apocalyptic number.

212553120 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 212553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

212553120 is an abundant number, since it is smaller than the sum of its proper divisors (540350304).

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

212553120 is a wasteful number, since it uses less digits than its factorization.

212553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 212553120 is about 14579.2016242317. The cubic root of 212553120 is about 596.7913156070.

The spelling of 212553120 in words is "two hundred twelve million, five hundred fifty-three thousand, one hundred twenty".