12151340054400 has 192 divisors, whose sum is σ = 41763628206720. Its totient is φ = 3099472189440.

The previous prime is 12151340054387. The next prime is 12151340054407. The reversal of 12151340054400 is 445004315121.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12151340054407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27295822 + ... + 27737421.

It is an arithmetic number, because the mean of its divisors is an integer number (217518896910).

Almost surely, 2^{12151340054400} is an apocalyptic number.

12151340054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12151340054400 is an abundant number, since it is smaller than the sum of its proper divisors (29612288152320).

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

12151340054400 is a wasteful number, since it uses less digits than its factorization.

12151340054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55033293 (or 55033276 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12151340054400 its reverse (445004315121), we get a palindrome (12596344369521).

The spelling of 12151340054400 in words is "twelve trillion, one hundred fifty-one billion, three hundred forty million, fifty-four thousand, four hundred".