212751047923200 has 1200 divisors, whose sum is σ = 802287215421120. Its totient is φ = 55665211392000.

The previous prime is 212751047923159. The next prime is 212751047923223. The reversal of 212751047923200 is 2329740157212.

212751047923200 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 510 + 47 + 92 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 34928752155 + ... + 34928758245.

Almost surely, 2^{212751047923200} is an apocalyptic number.

212751047923200 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 212751047923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401143607710560).

212751047923200 is an abundant number, since it is smaller than the sum of its proper divisors (589536167497920).

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

212751047923200 is an equidigital number, since it uses as much as digits as its factorization.

212751047923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 212751047923200 in words is "two hundred twelve trillion, seven hundred fifty-one billion, forty-seven million, nine hundred twenty-three thousand, two hundred".