120772701504 has 336 divisors, whose sum is σ = 426947015040. Its totient is φ = 31785799680.

The previous prime is 120772701499. The next prime is 120772701523. The reversal of 120772701504 is 405107277021.

120772701504 is a `hidden beast` number, since 12 + 0 + 7 + 72 + 70 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28354927 + ... + 28359185.

It is an arithmetic number, because the mean of its divisors is an integer number (1270675640).

Almost surely, 2^120772701504 is an apocalyptic number.

120772701504 is a gapful number since it is divisible by the number (14) 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 120772701504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213473507520).

120772701504 is an abundant number, since it is smaller than the sum of its proper divisors (306174313536).

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

120772701504 is a wasteful number, since it uses less digits than its factorization.

120772701504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

Adding to 120772701504 its reverse (405107277021), we get a palindrome (525879978525).

The spelling of 120772701504 in words is "one hundred twenty billion, seven hundred seventy-two million, seven hundred one thousand, five hundred four".