12520416096400 has 45 divisors (see below), whose sum is σ = 30080469693643. Its totient is φ = 5008138131200.

The previous prime is 12520416096343. The next prime is 12520416096413. The reversal of 12520416096400 is 469061402521.

The square root of 12520416096400 is 3538420.

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 233316048784 + 12287100047616 = 483028^2 + 3505296^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70679940 + ... + 70856860.

Almost surely, 2^{12520416096400} is an apocalyptic number.

12520416096400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12520416096400 is the 3538420-th square number.

It is an amenable number.

12520416096400 is an abundant number, since it is smaller than the sum of its proper divisors (17560053597243).

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

12520416096400 is an frugal number, since it uses more digits than its factorization.

12520416096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353860 (or 176928 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

Adding to 12520416096400 its reverse (469061402521), we get a palindrome (12989477498921).

The spelling of 12520416096400 in words is "twelve trillion, five hundred twenty billion, four hundred sixteen million, ninety-six thousand, four hundred".