12510545120400 has 240 divisors, whose sum is σ = 41474501265600. Its totient is φ = 3219773921280.

The previous prime is 12510545120377. The next prime is 12510545120483. The reversal of 12510545120400 is 402154501521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85500102 + ... + 85646298.

It is an arithmetic number, because the mean of its divisors is an integer number (172810421940).

Almost surely, 2^{12510545120400} is an apocalyptic number.

12510545120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12510545120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737250632800).

12510545120400 is an abundant number, since it is smaller than the sum of its proper divisors (28963956145200).

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

12510545120400 is a wasteful number, since it uses less digits than its factorization.

12510545120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148706 (or 148695 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 12510545120400 its reverse (402154501521), we get a palindrome (12912699621921).

The spelling of 12510545120400 in words is "twelve trillion, five hundred ten billion, five hundred forty-five million, one hundred twenty thousand, four hundred".