120613733323776 has 2816 divisors, whose sum is σ = 473364393984000. Its totient is φ = 29797731532800.

The previous prime is 120613733323757. The next prime is 120613733323777. The reversal of 120613733323776 is 677323337316021.

120613733323776 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 3 + 7 + 333 + 237 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120613733323777) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 445069126521 + ... + 445069126791.

Almost surely, 2^{120613733323776} is an apocalyptic number.

120613733323776 is a gapful number since it is divisible by the number (16) 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 120613733323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236682196992000).

120613733323776 is an abundant number, since it is smaller than the sum of its proper divisors (352750660660224).

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

120613733323776 is an equidigital number, since it uses as much as digits as its factorization.

120613733323776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 54.

The spelling of 120613733323776 in words is "one hundred twenty trillion, six hundred thirteen billion, seven hundred thirty-three million, three hundred twenty-three thousand, seven hundred seventy-six".