212115904 has 252 divisors, whose sum is σ = 593076792. Its totient is φ = 74511360.

The previous prime is 212115901. The next prime is 212115923. The reversal of 212115904 is 409511212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212115901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4932907 + ... + 4932949.

Almost surely, 2^212115904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296538396).

212115904 is an abundant number, since it is smaller than the sum of its proper divisors (380960888).

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

212115904 is a wasteful number, since it uses less digits than its factorization.

212115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 212115904 is about 14564.1993944054. The cubic root of 212115904 is about 596.3818402047.

The spelling of 212115904 in words is "two hundred twelve million, one hundred fifteen thousand, nine hundred four".