120749989248000 has 6336 divisors, whose sum is σ = 582374505323520. Its totient is φ = 24365629440000.

The previous prime is 120749989247959. The next prime is 120749989248011. The reversal of 120749989248000 is 842989947021.

120749989248000 is a `hidden beast` number, since 1 + 2 + 0 + 74 + 9 + 9 + 89 + 2 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1195544447950 + ... + 1195544448050.

Almost surely, 2^{120749989248000} is an apocalyptic number.

120749989248000 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 120749989248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291187252661760).

120749989248000 is an abundant number, since it is smaller than the sum of its proper divisors (461624516075520).

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

120749989248000 is a wasteful number, since it uses less digits than its factorization.

120749989248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 120749989248000 in words is "one hundred twenty trillion, seven hundred forty-nine billion, nine hundred eighty-nine million, two hundred forty-eight thousand".