12134835891400 has 48 divisors (see below), whose sum is σ = 28691688279600. Its totient is φ = 4771664278080.

The previous prime is 12134835891397. The next prime is 12134835891403. The reversal of 12134835891400 is 419853843121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12134835891397) and next prime (12134835891403).

It is a super-2 number, since 2×12134835891400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12134835891403) 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 11 ways as a sum of consecutive naturals, for example, 514176162 + ... + 514199761.

It is an arithmetic number, because the mean of its divisors is an integer number (597743505825).

Almost surely, 2^{12134835891400} is an apocalyptic number.

12134835891400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134835891400 is an abundant number, since it is smaller than the sum of its proper divisors (16556852388200).

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

12134835891400 is a wasteful number, since it uses less digits than its factorization.

12134835891400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028375998 (or 1028375989 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 12134835891400 in words is "twelve trillion, one hundred thirty-four billion, eight hundred thirty-five million, eight hundred ninety-one thousand, four hundred".