120015117066600 has 576 divisors, whose sum is σ = 481018041000000. Its totient is φ = 27423975237120.

The previous prime is 120015117066563. The next prime is 120015117066623. The reversal of 120015117066600 is 6660711510021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 925770586 + ... + 925900214.

It is an arithmetic number, because the mean of its divisors is an integer number (835100765625).

Almost surely, 2^{120015117066600} is an apocalyptic number.

120015117066600 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 120015117066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240509020500000).

120015117066600 is an abundant number, since it is smaller than the sum of its proper divisors (361002923933400).

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

120015117066600 is a wasteful number, since it uses less digits than its factorization.

120015117066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133167 (or 133145 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 120015117066600 its reverse (6660711510021), we get a palindrome (126675828576621).

The spelling of 120015117066600 in words is "one hundred twenty trillion, fifteen billion, one hundred seventeen million, sixty-six thousand, six hundred".