212996900 has 36 divisors (see below), whose sum is σ = 466467540. Its totient is φ = 84412800.

The previous prime is 212996899. The next prime is 212996911. The reversal of 212996900 is 9699212.

It can be written as a sum of positive squares in 6 ways, for example, as 6270016 + 206726884 = 2504^2 + 14378^2 .

It is a super-2 number, since 2×212996900² = 90735358819220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1130 + ... + 20670.

Almost surely, 2^212996900 is an apocalyptic number.

212996900 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 212996900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233233770).

212996900 is an abundant number, since it is smaller than the sum of its proper divisors (253470640).

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

212996900 is a wasteful number, since it uses less digits than its factorization.

212996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19664 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 212996900 is about 14594.4133146900. The cubic root of 212996900 is about 597.2063647093.

The spelling of 212996900 in words is "two hundred twelve million, nine hundred ninety-six thousand, nine hundred".