212491330974720 has 2640 divisors, whose sum is σ = 915973791384960. Its totient is φ = 46138426785792.

The previous prime is 212491330974709. The next prime is 212491330974721. The reversal of 212491330974720 is 27479033194212.

212491330974720 is a `hidden beast` number, since 2 + 1 + 2 + 49 + 13 + 30 + 97 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212491330974721) 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 239 ways as a sum of consecutive naturals, for example, 274891760254 + ... + 274891761026.

It is an arithmetic number, because the mean of its divisors is an integer number (346959769464).

Almost surely, 2^{212491330974720} is an apocalyptic number.

212491330974720 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 212491330974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457986895692480).

212491330974720 is an abundant number, since it is smaller than the sum of its proper divisors (703482460410240).

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

212491330974720 is a wasteful number, since it uses less digits than its factorization.

212491330974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 212491330974720 in words is "two hundred twelve trillion, four hundred ninety-one billion, three hundred thirty million, nine hundred seventy-four thousand, seven hundred twenty".