12354193792512 has 2560 divisors, whose sum is σ = 47041789132800. Its totient is φ = 3147359846400.

The previous prime is 12354193792511. The next prime is 12354193792513. The reversal of 12354193792512 is 21529739145321.

It is a happy number.

12354193792512 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 4 + 1 + 9 + 37 + 92 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (12354193792511) and next prime (12354193792513).

It is a super-2 number, since 2×12354193792512² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12354193792511) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138811166164 + ... + 138811166252.

It is an arithmetic number, because the mean of its divisors is an integer number (18375698880).

Almost surely, 2^{12354193792512} is an apocalyptic number.

12354193792512 is a gapful number since it is divisible by the number (12) 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 12354193792512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520894566400).

12354193792512 is an abundant number, since it is smaller than the sum of its proper divisors (34687595340288).

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

12354193792512 is a wasteful number, since it uses less digits than its factorization.

12354193792512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 12354193792512 in words is "twelve trillion, three hundred fifty-four billion, one hundred ninety-three million, seven hundred ninety-two thousand, five hundred twelve".