12478132353600 has 189 divisors, whose sum is σ = 44351735276667. Its totient is φ = 3327388922880.

The previous prime is 12478132353571. The next prime is 12478132353613. The reversal of 12478132353600 is 635323187421.

The square root of 12478132353600 is 3532440.

It is a perfect power (a square), and thus also a powerful number.

12478132353600 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 8 + 1 + 3 + 2 + 35 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2662092454464 + 9816039899136 = 1631592^2 + 3133056^2 .

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 26 ways as a sum of consecutive naturals, for example, 423878082 + ... + 423907518.

Almost surely, 2^{12478132353600} is an apocalyptic number.

12478132353600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12478132353600 is the 3532440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12478132353600

12478132353600 is an abundant number, since it is smaller than the sum of its proper divisors (31873602923067).

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

12478132353600 is an frugal number, since it uses more digits than its factorization.

12478132353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58902 (or 29447 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12478132353600 in words is "twelve trillion, four hundred seventy-eight billion, one hundred thirty-two million, three hundred fifty-three thousand, six hundred".