212916834900 has 1440 divisors, whose sum is σ = 934302200832. Its totient is φ = 40584499200.

The previous prime is 212916834859. The next prime is 212916834919. The reversal of 212916834900 is 9438619212.

212916834900 is a `hidden beast` number, since 2 + 12 + 91 + 68 + 3 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 455924467 + ... + 455924933.

Almost surely, 2^212916834900 is an apocalyptic number.

212916834900 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 212916834900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467151100416).

212916834900 is an abundant number, since it is smaller than the sum of its proper divisors (721385365932).

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

212916834900 is a wasteful number, since it uses less digits than its factorization.

212916834900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 212916834900 in words is "two hundred twelve billion, nine hundred sixteen million, eight hundred thirty-four thousand, nine hundred".