12001513062400 has 135 divisors (see below), whose sum is σ = 29768343493791. Its totient is φ = 4799718359040.

The previous prime is 12001513062281. The next prime is 12001513062403. The reversal of 12001513062400 is 426031510021.

It is a happy number.

The square root of 12001513062400 is 3464320.

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 2195897204736 + 9805615857664 = 1481856^2 + 3131392^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001513062403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2217162094 + ... + 2217167506.

Almost surely, 2^{12001513062400} is an apocalyptic number.

12001513062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001513062400 is the 3464320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001513062400

12001513062400 is an abundant number, since it is smaller than the sum of its proper divisors (17766830431391).

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

12001513062400 is an frugal number, since it uses more digits than its factorization.

12001513062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10864 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 12001513062400 by its sum of digits (25), we get a square (300037826560000 = 17321600²).

12001513062400 divided by its sum of digits (25) gives a square (480060522496 = 692864²).

Adding to 12001513062400 its reverse (426031510021), we get a palindrome (12427544572421).

The spelling of 12001513062400 in words is "twelve trillion, one billion, five hundred thirteen million, sixty-two thousand, four hundred".