12142311200 has 72 divisors (see below), whose sum is σ = 31386123972. Its totient is φ = 4571217920.

The previous prime is 12142311199. The next prime is 12142311221. The reversal of 12142311200 is 211324121.

It can be written as a sum of positive squares in 6 ways, for example, as 10029621904 + 2112689296 = 100148^2 + 45964^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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, 432809 + ... + 460008.

Almost surely, 2^12142311200 is an apocalyptic number.

12142311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142311200 is an abundant number, since it is smaller than the sum of its proper divisors (19243812772).

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

12142311200 is a wasteful number, since it uses less digits than its factorization.

12142311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892854 (or 892841 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12142311200 its reverse (211324121), we get a palindrome (12353635321).

The spelling of 12142311200 in words is "twelve billion, one hundred forty-two million, three hundred eleven thousand, two hundred".