212272617888000 has 1728 divisors, whose sum is σ = 813466429461504. Its totient is φ = 53039923200000.

The previous prime is 212272617887831. The next prime is 212272617888007. The reversal of 212272617888000 is 888716272212.

212272617888000 is a `hidden beast` number, since 2 + 1 + 227 + 261 + 7 + 88 + 80 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (212272617888007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64895326365 + ... + 64895329635.

It is an arithmetic number, because the mean of its divisors is an integer number (470756035568).

Almost surely, 2^{212272617888000} is an apocalyptic number.

212272617888000 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 212272617888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406733214730752).

212272617888000 is an abundant number, since it is smaller than the sum of its proper divisors (601193811573504).

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

212272617888000 is a wasteful number, since it uses less digits than its factorization.

212272617888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 212272617888000 in words is "two hundred twelve trillion, two hundred seventy-two billion, six hundred seventeen million, eight hundred eighty-eight thousand".