120973716864 has 1536 divisors, whose sum is σ = 513449395200. Its totient is φ = 27298529280.

The previous prime is 120973716859. The next prime is 120973716869. The reversal of 120973716864 is 468617379021.

120973716864 is a `hidden beast` number, since 1 + 209 + 7 + 371 + 6 + 8 + 64 = 666.

120973716864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120973716859) and next prime (120973716869).

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

It is a self number, because there is not a number n which added to its sum of digits gives 120973716864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120973716869) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7116100984 + ... + 7116101000.

It is an arithmetic number, because the mean of its divisors is an integer number (334276950).

Almost surely, 2^120973716864 is an apocalyptic number.

120973716864 is a gapful number since it is divisible by the number (14) 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 120973716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256724697600).

120973716864 is an abundant number, since it is smaller than the sum of its proper divisors (392475678336).

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

120973716864 is a wasteful number, since it uses less digits than its factorization.

120973716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 120973716864 in words is "one hundred twenty billion, nine hundred seventy-three million, seven hundred sixteen thousand, eight hundred sixty-four".