120234733825600 has 189 divisors, whose sum is σ = 296993415653713. Its totient is φ = 47909152514560.

The previous prime is 120234733825477. The next prime is 120234733825603. The reversal of 120234733825600 is 6528337432021.

It is a happy number.

The square root of 120234733825600 is 10965160.

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

It can be written as a sum of positive squares in only one way, i.e., 43284504177216 + 76950229648384 = 6579096^2 + 8772128^2 .

It is a super-2 number, since 2×120234733825600² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120234733825603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204829188507 + ... + 204829189093.

Almost surely, 2^{120234733825600} is an apocalyptic number.

120234733825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120234733825600 is the 10965160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120234733825600

120234733825600 is an abundant number, since it is smaller than the sum of its proper divisors (176758681828113).

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

120234733825600 is an frugal number, since it uses more digits than its factorization.

120234733825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 120234733825600 in words is "one hundred twenty trillion, two hundred thirty-four billion, seven hundred thirty-three million, eight hundred twenty-five thousand, six hundred".