12475456719120 has 320 divisors, whose sum is σ = 43692921331200. Its totient is φ = 3270942812160.

The previous prime is 12475456719071. The next prime is 12475456719137. The reversal of 12475456719120 is 2191765457421.

12475456719120 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 54 + 567 + 1 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354812101 + ... + 354847259.

It is an arithmetic number, because the mean of its divisors is an integer number (136540379160).

Almost surely, 2^{12475456719120} is an apocalyptic number.

12475456719120 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 12475456719120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21846460665600).

12475456719120 is an abundant number, since it is smaller than the sum of its proper divisors (31217464612080).

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

12475456719120 is a wasteful number, since it uses less digits than its factorization.

12475456719120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37935 (or 37923 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 12475456719120 in words is "twelve trillion, four hundred seventy-five billion, four hundred fifty-six million, seven hundred nineteen thousand, one hundred twenty".