120233766105600 has 1920 divisors, whose sum is σ = 488904250982400. Its totient is φ = 25423065907200.

The previous prime is 120233766105599. The next prime is 120233766105623. The reversal of 120233766105600 is 6501667332021.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×120233766105600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 97830565786 + ... + 97830567014.

It is an arithmetic number, because the mean of its divisors is an integer number (254637630720).

Almost surely, 2^{120233766105600} is an apocalyptic number.

120233766105600 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 120233766105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244452125491200).

120233766105600 is an abundant number, since it is smaller than the sum of its proper divisors (368670484876800).

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

120233766105600 is a wasteful number, since it uses less digits than its factorization.

120233766105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 120233766105600 in words is "one hundred twenty trillion, two hundred thirty-three billion, seven hundred sixty-six million, one hundred five thousand, six hundred".