120536729856 has 135 divisors (see below), whose sum is σ = 359567854723. Its totient is φ = 40162245120.

The previous prime is 120536729827. The next prime is 120536729857. The reversal of 120536729856 is 658927635021.

The square root of 120536729856 is 347184.

It is a perfect power (a square), and thus also a powerful number.

120536729856 is a `hidden beast` number, since 1 + 2 + 0 + 536 + 7 + 29 + 85 + 6 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120536729857) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49993291 + ... + 49995701.

Almost surely, 2^120536729856 is an apocalyptic number.

120536729856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120536729856 is the 347184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120536729856

120536729856 is an abundant number, since it is smaller than the sum of its proper divisors (239031124867).

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

120536729856 is an frugal number, since it uses more digits than its factorization.

120536729856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 120536729856 in words is "one hundred twenty billion, five hundred thirty-six million, seven hundred twenty-nine thousand, eight hundred fifty-six".