120875079600 has 720 divisors, whose sum is σ = 500802009120. Its totient is φ = 27574272000.

The previous prime is 120875079509. The next prime is 120875079623. The reversal of 120875079600 is 6970578021.

120875079600 is a `hidden beast` number, since 1 + 2 + 0 + 87 + 507 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×120875079600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22212880 + ... + 22218320.

It is an arithmetic number, because the mean of its divisors is an integer number (695558346).

Almost surely, 2^120875079600 is an apocalyptic number.

120875079600 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 120875079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250401004560).

120875079600 is an abundant number, since it is smaller than the sum of its proper divisors (379926929520).

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

120875079600 is a wasteful number, since it uses less digits than its factorization.

120875079600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 120875079600 in words is "one hundred twenty billion, eight hundred seventy-five million, seventy-nine thousand, six hundred".