12940771921920 has 624 divisors, whose sum is σ = 49253822392320. Its totient is φ = 3247858778112.

The previous prime is 12940771921919. The next prime is 12940771921963. The reversal of 12940771921920 is 2912917704921.

12940771921920 is a `hidden beast` number, since 1 + 2 + 9 + 407 + 7 + 19 + 219 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84526401 + ... + 84679359.

It is an arithmetic number, because the mean of its divisors is an integer number (78932407680).

Almost surely, 2^{12940771921920} is an apocalyptic number.

12940771921920 is a gapful number since it is divisible by the number (10) 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 12940771921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24626911196160).

12940771921920 is an abundant number, since it is smaller than the sum of its proper divisors (36313050470400).

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

12940771921920 is an equidigital number, since it uses as much as digits as its factorization.

12940771921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153020 (or 152986 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 12940771921920 in words is "twelve trillion, nine hundred forty billion, seven hundred seventy-one million, nine hundred twenty-one thousand, nine hundred twenty".