212696400 has 120 divisors (see below), whose sum is σ = 778702144. Its totient is φ = 48614400.

The previous prime is 212696347. The next prime is 212696413. The reversal of 212696400 is 4696212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4261 + ... + 21060.

Almost surely, 2^212696400 is an apocalyptic number.

212696400 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 212696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389351072).

212696400 is an abundant number, since it is smaller than the sum of its proper divisors (566005744).

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

212696400 is a wasteful number, since it uses less digits than its factorization.

212696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25349 (or 25338 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 212696400 is about 14584.1146457370. The cubic root of 212696400 is about 596.9253825694.

The spelling of 212696400 in words is "two hundred twelve million, six hundred ninety-six thousand, four hundred".