12734251291800 has 288 divisors, whose sum is σ = 47664738435600. Its totient is φ = 3027834224640.

The previous prime is 12734251291771. The next prime is 12734251291807. The reversal of 12734251291800 is 819215243721.

12734251291800 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 42 + 512 + 91 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×12734251291800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12734251291807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10369969 + ... + 11532768.

Almost surely, 2^{12734251291800} is an apocalyptic number.

12734251291800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12734251291800 is an abundant number, since it is smaller than the sum of its proper divisors (34930487143800).

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

12734251291800 is a wasteful number, since it uses less digits than its factorization.

12734251291800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21902795 (or 21902783 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12734251291800 in words is "twelve trillion, seven hundred thirty-four billion, two hundred fifty-one million, two hundred ninety-one thousand, eight hundred".