120722716651680 has 1440 divisors, whose sum is σ = 504912731677200. Its totient is φ = 26983501332480.

The previous prime is 120722716651637. The next prime is 120722716651699. The reversal of 120722716651680 is 86156617227021.

It is a happy number.

120722716651680 is a `hidden beast` number, since 1 + 20 + 7 + 2 + 27 + 1 + 6 + 6 + 516 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4080383840016 + 116642332811664 = 2019996^2 + 10800108^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20569551786 + ... + 20569557654.

Almost surely, 2^{120722716651680} is an apocalyptic number.

120722716651680 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 120722716651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252456365838600).

120722716651680 is an abundant number, since it is smaller than the sum of its proper divisors (384190015025520).

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

120722716651680 is a wasteful number, since it uses less digits than its factorization.

120722716651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 120722716651680 in words is "one hundred twenty trillion, seven hundred twenty-two billion, seven hundred sixteen million, six hundred fifty-one thousand, six hundred eighty".