120706735763052 has 192 divisors, whose sum is σ = 334035217152000. Its totient is φ = 37562595554304.

The previous prime is 120706735763023. The next prime is 120706735763093. The reversal of 120706735763052 is 250367537607021.

120706735763052 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 0 + 67 + 3 + 576 + 3 + 0 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120706735763052.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284851149 + ... + 285274587.

It is an arithmetic number, because the mean of its divisors is an integer number (1739766756000).

Almost surely, 2^{120706735763052} is an apocalyptic number.

120706735763052 is a gapful number since it is divisible by the number (12) 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 120706735763052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167017608576000).

120706735763052 is an abundant number, since it is smaller than the sum of its proper divisors (213328481388948).

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

120706735763052 is a wasteful number, since it uses less digits than its factorization.

120706735763052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424725 (or 424717 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 120706735763052 in words is "one hundred twenty trillion, seven hundred six billion, seven hundred thirty-five million, seven hundred sixty-three thousand, fifty-two".