12239782131600 has 135 divisors (see below), whose sum is σ = 42476172402963. Its totient is φ = 3263885925120.

The previous prime is 12239782131593. The next prime is 12239782131631. The reversal of 12239782131600 is 613128793221.

It is a happy number.

The square root of 12239782131600 is 3498540.

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

12239782131600 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 9 + 7 + 8 + 2 + 1 + 31 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 330988499856 + 11908793631744 = 575316^2 + 3450912^2 .

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, 209883246 + ... + 209941554.

Almost surely, 2^{12239782131600} is an apocalyptic number.

12239782131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12239782131600 is the 3498540-th square number.

It is an amenable number.

12239782131600 is an abundant number, since it is smaller than the sum of its proper divisors (30236390271363).

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

12239782131600 is an frugal number, since it uses more digits than its factorization.

12239782131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116642 (or 58319 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12239782131600 in words is "twelve trillion, two hundred thirty-nine billion, seven hundred eighty-two million, one hundred thirty-one thousand, six hundred".