12110000431200 has 288 divisors, whose sum is σ = 46502403655680. Its totient is φ = 2678709657600.

The previous prime is 12110000431157. The next prime is 12110000431271. The reversal of 12110000431200 is 213400001121.

It is a super-2 number, since 2×12110000431200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12110000431200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11105545 + ... + 12147144.

It is an arithmetic number, because the mean of its divisors is an integer number (161466679360).

Almost surely, 2^{12110000431200} is an apocalyptic number.

12110000431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110000431200 is an abundant number, since it is smaller than the sum of its proper divisors (34392403224480).

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

12110000431200 is a wasteful number, since it uses less digits than its factorization.

12110000431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23252750 (or 23252737 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12110000431200 its reverse (213400001121), we get a palindrome (12323400432321).

The spelling of 12110000431200 in words is "twelve trillion, one hundred ten billion, four hundred thirty-one thousand, two hundred".