120889232505600 has 1728 divisors, whose sum is σ = 459686618173440. Its totient is φ = 27914625024000.

The previous prime is 120889232505493. The next prime is 120889232505683. The reversal of 120889232505600 is 6505232988021.

It is a super-2 number, since 2×120889232505600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51420344425 + ... + 51420346775.

It is an arithmetic number, because the mean of its divisors is an integer number (266022348480).

Almost surely, 2^{120889232505600} is an apocalyptic number.

120889232505600 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 120889232505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229843309086720).

120889232505600 is an abundant number, since it is smaller than the sum of its proper divisors (338797385667840).

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

120889232505600 is a wasteful number, since it uses less digits than its factorization.

120889232505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 120889232505600 in words is "one hundred twenty trillion, eight hundred eighty-nine billion, two hundred thirty-two million, five hundred five thousand, six hundred".