120747884544000 has 3040 divisors, whose sum is σ = 527599084556544. Its totient is φ = 26907299020800.

The previous prime is 120747884543969. The next prime is 120747884544029. The reversal of 120747884544000 is 445488747021.

It is a happy number.

120747884544000 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 478 + 84 + 54 + 40 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1244823551952 + ... + 1244823552048.

Almost surely, 2^{120747884544000} is an apocalyptic number.

120747884544000 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 120747884544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263799542278272).

120747884544000 is an abundant number, since it is smaller than the sum of its proper divisors (406851200012544).

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

120747884544000 is an frugal number, since it uses more digits than its factorization.

120747884544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 120747884544000 in words is "one hundred twenty trillion, seven hundred forty-seven billion, eight hundred eighty-four million, five hundred forty-four thousand".