120909050626560 has 960 divisors, whose sum is σ = 478172330190720. Its totient is φ = 25896788951040.

The previous prime is 120909050626549. The next prime is 120909050626561. The reversal of 120909050626560 is 65626050909021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (120909050626561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1464972495 + ... + 1465055025.

It is an arithmetic number, because the mean of its divisors is an integer number (498096177282).

Almost surely, 2^{120909050626560} is an apocalyptic number.

120909050626560 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 120909050626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239086165095360).

120909050626560 is an abundant number, since it is smaller than the sum of its proper divisors (357263279564160).

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

120909050626560 is a wasteful number, since it uses less digits than its factorization.

120909050626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82817 (or 82794 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 120909050626560 in words is "one hundred twenty trillion, nine hundred nine billion, fifty million, six hundred twenty-six thousand, five hundred sixty".