120765877989120 has 3456 divisors, whose sum is σ = 545976797184000. Its totient is φ = 24463569715200.

The previous prime is 120765877989091. The next prime is 120765877989131. The reversal of 120765877989120 is 21989778567021.

120765877989120 is a `hidden beast` number, since 1 + 20 + 7 + 6 + 587 + 7 + 9 + 8 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 288224052271 + ... + 288224052689.

Almost surely, 2^{120765877989120} is an apocalyptic number.

120765877989120 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 120765877989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272988398592000).

120765877989120 is an abundant number, since it is smaller than the sum of its proper divisors (425210919194880).

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

120765877989120 is a wasteful number, since it uses less digits than its factorization.

120765877989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 120765877989120 in words is "one hundred twenty trillion, seven hundred sixty-five billion, eight hundred seventy-seven million, nine hundred eighty-nine thousand, one hundred twenty".