7212311179920 has 2160 divisors, whose sum is σ = 32027675097600. Its totient is φ = 1448373104640.

The previous prime is 7212311179861. The next prime is 7212311179963. The reversal of 7212311179920 is 299711132127.

7212311179920 is a `hidden beast` number, since 7 + 212 + 311 + 17 + 99 + 20 = 666.

It is a super-2 number, since 2×7212311179920² (a number of 27 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 20665647906 + ... + 20665648254.

It is an arithmetic number, because the mean of its divisors is an integer number (14827627360).

Almost surely, 2^{7212311179920} is an apocalyptic number.

7212311179920 is a gapful number since it is divisible by the number (70) 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 7212311179920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013837548800).

7212311179920 is an abundant number, since it is smaller than the sum of its proper divisors (24815363917680).

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

7212311179920 is a wasteful number, since it uses less digits than its factorization.

7212311179920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 7212311179920 in words is "seven trillion, two hundred twelve billion, three hundred eleven million, one hundred seventy-nine thousand, nine hundred twenty".