1231345315600 has 135 divisors (see below), whose sum is σ = 2990809745599. Its totient is φ = 487185126400.

The previous prime is 1231345315559. The next prime is 1231345315621. The reversal of 1231345315600 is 65135431321.

The square root of 1231345315600 is 1109660.

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

It can be written as a sum of positive squares in 4 ways, for example, as 626459586064 + 604885729536 = 791492^2 + 777744^2 .

It is a super-2 number, since 2×1231345315600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2507831355 + ... + 2507831845.

Almost surely, 2^{1231345315600} is an apocalyptic number.

1231345315600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1231345315600 is the 1109660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231345315600

1231345315600 is an abundant number, since it is smaller than the sum of its proper divisors (1759464429999).

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

1231345315600 is an frugal number, since it uses more digits than its factorization.

1231345315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 1231345315600 in words is "one trillion, two hundred thirty-one billion, three hundred forty-five million, three hundred fifteen thousand, six hundred".