12351409459200 has 3744 divisors, whose sum is σ = 58023670533120. Its totient is φ = 2556533145600.

The previous prime is 12351409459189. The next prime is 12351409459229. The reversal of 12351409459200 is 295490415321.

It is a happy number.

12351409459200 is a `hidden beast` number, since 1 + 2 + 3 + 51 + 4 + 0 + 9 + 4 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71395430314 + ... + 71395430486.

Almost surely, 2^{12351409459200} is an apocalyptic number.

12351409459200 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 12351409459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29011835266560).

12351409459200 is an abundant number, since it is smaller than the sum of its proper divisors (45672261073920).

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

12351409459200 is a wasteful number, since it uses less digits than its factorization.

12351409459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12351409459200 in words is "twelve trillion, three hundred fifty-one billion, four hundred nine million, four hundred fifty-nine thousand, two hundred".