120726692352 has 1120 divisors, whose sum is σ = 450833644800. Its totient is φ = 32188907520.

The previous prime is 120726692287. The next prime is 120726692357. The reversal of 120726692352 is 253296627021.

120726692352 is a `hidden beast` number, since 1 + 207 + 2 + 6 + 6 + 92 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120726692298 and 120726692307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120726692357) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2944553452 + ... + 2944553492.

It is an arithmetic number, because the mean of its divisors is an integer number (402530040).

Almost surely, 2^120726692352 is an apocalyptic number.

120726692352 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 120726692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225416822400).

120726692352 is an abundant number, since it is smaller than the sum of its proper divisors (330106952448).

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

120726692352 is an frugal number, since it uses more digits than its factorization.

120726692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 120726692352 in words is "one hundred twenty billion, seven hundred twenty-six million, six hundred ninety-two thousand, three hundred fifty-two".