12200431140 has 192 divisors, whose sum is σ = 40286937600. Its totient is φ = 3054661632.

The previous prime is 12200431073. The next prime is 12200431153. The reversal of 12200431140 is 4113400221.

12200431140 is a `hidden beast` number, since 1 + 220 + 0 + 431 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4469296 + ... + 4472024.

It is an arithmetic number, because the mean of its divisors is an integer number (209827800).

Almost surely, 2^12200431140 is an apocalyptic number.

12200431140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143468800).

12200431140 is an abundant number, since it is smaller than the sum of its proper divisors (28086506460).

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

12200431140 is a wasteful number, since it uses less digits than its factorization.

12200431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12200431140 its reverse (4113400221), we get a palindrome (16313831361).

The spelling of 12200431140 in words is "twelve billion, two hundred million, four hundred thirty-one thousand, one hundred forty".