12894567206430 has 128 divisors (see below), whose sum is σ = 39117988804608. Its totient is φ = 2647081907712.

The previous prime is 12894567206399. The next prime is 12894567206431. The reversal of 12894567206430 is 3460276549821.

It is a super-2 number, since 2×12894567206430² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894567206431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63727162 + ... + 63929181.

It is an arithmetic number, because the mean of its divisors is an integer number (305609287536).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12894567206430 = 25789134412860, but 3⋅12894567206430 = 38683701619290 is not.

Almost surely, 2^{12894567206430} is an apocalyptic number.

12894567206430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12894567206430 is an abundant number, since it is smaller than the sum of its proper divisors (26223421598178).

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

12894567206430 is a wasteful number, since it uses less digits than its factorization.

12894567206430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127656410.

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 12894567206430 in words is "twelve trillion, eight hundred ninety-four billion, five hundred sixty-seven million, two hundred six thousand, four hundred thirty".