212151400 has 48 divisors (see below), whose sum is σ = 494973900. Its totient is φ = 84564480.

The previous prime is 212151353. The next prime is 212151491. The reversal of 212151400 is 4151212.

It can be written as a sum of positive squares in 6 ways, for example, as 67141636 + 145009764 = 8194^2 + 12042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60906 + ... + 64294.

Almost surely, 2^212151400 is an apocalyptic number.

212151400 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 212151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247486950).

212151400 is an abundant number, since it is smaller than the sum of its proper divisors (282822500).

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

212151400 is a wasteful number, since it uses less digits than its factorization.

212151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 212151400 is about 14565.4179480027. The cubic root of 212151400 is about 596.4151050199.

The spelling of 212151400 in words is "two hundred twelve million, one hundred fifty-one thousand, four hundred".