12135803387904 has 759 divisors, whose sum is σ = 42351233005227. Its totient is φ = 3467372396544.

The previous prime is 12135803387833. The next prime is 12135803387909. The reversal of 12135803387904 is 40978330853121.

The square root of 12135803387904 is 3483648.

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

12135803387904 is a `hidden beast` number, since 1 + 21 + 3 + 580 + 3 + 38 + 7 + 9 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12135803387909) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1733686198269 + ... + 1733686198275.

Almost surely, 2^{12135803387904} is an apocalyptic number.

12135803387904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12135803387904 is a droll number since its even prime factors and its odd prime factors have the same sum.

12135803387904 is the 3483648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135803387904

12135803387904 is an abundant number, since it is smaller than the sum of its proper divisors (30215429617323).

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

12135803387904 is an frugal number, since it uses more digits than its factorization.

12135803387904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12135803387904 in words is "twelve trillion, one hundred thirty-five billion, eight hundred three million, three hundred eighty-seven thousand, nine hundred four".