120306895402500 has 405 divisors, whose sum is σ = 385085480348569. Its totient is φ = 31659334080000.

The previous prime is 120306895402459. The next prime is 120306895402553. The reversal of 120306895402500 is 5204598603021.

The square root of 120306895402500 is 10968450.

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

120306895402500 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 6 + 89 + 540 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 117677672068356 + 2629223334144 = 10847934^2 + 1621488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 136557202060 + ... + 136557202940.

Almost surely, 2^{120306895402500} is an apocalyptic number.

120306895402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120306895402500 is the 10968450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120306895402500

120306895402500 is an abundant number, since it is smaller than the sum of its proper divisors (264778584946069).

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

120306895402500 is an frugal number, since it uses more digits than its factorization.

120306895402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 120306895402500 in words is "one hundred twenty trillion, three hundred six billion, eight hundred ninety-five million, four hundred two thousand, five hundred".