120742544000 has 512 divisors, whose sum is σ = 344109729600. Its totient is φ = 41803776000.

The previous prime is 120742543993. The next prime is 120742544093. The reversal of 120742544000 is 445247021.

It can be written as a sum of positive squares in 32 ways, for example, as 39945618496 + 80796925504 = 199864^2 + 284248^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223183730 + ... + 223184270.

Almost surely, 2^120742544000 is an apocalyptic number.

120742544000 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 120742544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172054864800).

120742544000 is an abundant number, since it is smaller than the sum of its proper divisors (223367185600).

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

120742544000 is a wasteful number, since it uses less digits than its factorization.

120742544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The spelling of 120742544000 in words is "one hundred twenty billion, seven hundred forty-two million, five hundred forty-four thousand".