212305263170000 has 400 divisors, whose sum is σ = 690142384643712. Its totient is φ = 61082830080000.

The previous prime is 212305263169991. The next prime is 212305263170027. The reversal of 212305263170000 is 71362503212.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 594659 + ... + 20614658.

Almost surely, 2^{212305263170000} is an apocalyptic number.

212305263170000 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 212305263170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345071192321856).

212305263170000 is an abundant number, since it is smaller than the sum of its proper divisors (477837121473712).

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

212305263170000 is a wasteful number, since it uses less digits than its factorization.

212305263170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21209376 (or 21209355 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 212305263170000 in words is "two hundred twelve trillion, three hundred five billion, two hundred sixty-three million, one hundred seventy thousand".