120871633259520 has 2112 divisors, whose sum is σ = 512559435548160. Its totient is φ = 26926409318400.

The previous prime is 120871633259369. The next prime is 120871633259521. The reversal of 120871633259520 is 25952336178021.

120871633259520 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 7 + 1 + 63 + 3 + 2 + 59 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is not an unprimeable number, because it can be changed into a prime (120871633259521) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 42877484671 + ... + 42877487489.

It is an arithmetic number, because the mean of its divisors is an integer number (242689126680).

Almost surely, 2^{120871633259520} is an apocalyptic number.

120871633259520 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 120871633259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256279717774080).

120871633259520 is an abundant number, since it is smaller than the sum of its proper divisors (391687802288640).

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

120871633259520 is a wasteful number, since it uses less digits than its factorization.

120871633259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 120871633259520 in words is "one hundred twenty trillion, eight hundred seventy-one billion, six hundred thirty-three million, two hundred fifty-nine thousand, five hundred twenty".