212265900 has 288 divisors, whose sum is σ = 851612160. Its totient is φ = 44064000.

The previous prime is 212265871. The next prime is 212265913. The reversal of 212265900 is 9562212.

212265900 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 659 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207390 + ... + 208410.

Almost surely, 2^212265900 is an apocalyptic number.

212265900 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 212265900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425806080).

212265900 is an abundant number, since it is smaller than the sum of its proper divisors (639346260).

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

212265900 is a wasteful number, since it uses less digits than its factorization.

212265900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 212265900 is about 14569.3479607016. The cubic root of 212265900 is about 596.5223825707.

The spelling of 212265900 in words is "two hundred twelve million, two hundred sixty-five thousand, nine hundred".