120884563388400 has 480 divisors, whose sum is σ = 443545759016448. Its totient is φ = 27568816128000.

The previous prime is 120884563388287. The next prime is 120884563388411. The reversal of 120884563388400 is 4883365488021.

It is a super-2 number, since 2×120884563388400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8202785832 + ... + 8202800568.

Almost surely, 2^{120884563388400} is an apocalyptic number.

120884563388400 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 120884563388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221772879508224).

120884563388400 is an abundant number, since it is smaller than the sum of its proper divisors (322661195628048).

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

120884563388400 is a wasteful number, since it uses less digits than its factorization.

120884563388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16889 (or 16878 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 120884563388400 in words is "one hundred twenty trillion, eight hundred eighty-four billion, five hundred sixty-three million, three hundred eighty-eight thousand, four hundred".