120989514236400 has 1440 divisors, whose sum is σ = 455576446241280. Its totient is φ = 29625845022720.

The previous prime is 120989514236399. The next prime is 120989514236401. The reversal of 120989514236400 is 4632415989021.

It is a happy number.

120989514236400 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 8 + 95 + 142 + 3 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (120989514236399) and next prime (120989514236401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120989514236401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 163720587231 + ... + 163720587969.

It is an arithmetic number, because the mean of its divisors is an integer number (316372532112).

Almost surely, 2^{120989514236400} is an apocalyptic number.

120989514236400 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 120989514236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227788223120640).

120989514236400 is an abundant number, since it is smaller than the sum of its proper divisors (334586932004880).

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

120989514236400 is a wasteful number, since it uses less digits than its factorization.

120989514236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 120989514236400 in words is "one hundred twenty trillion, nine hundred eighty-nine billion, five hundred fourteen million, two hundred thirty-six thousand, four hundred".