12311191200 has 864 divisors, whose sum is σ = 52664629248. Its totient is φ = 2467584000.

The previous prime is 12311191183. The next prime is 12311191213. The reversal of 12311191200 is 219111321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40101447 + ... + 40101753.

It is an arithmetic number, because the mean of its divisors is an integer number (60954432).

Almost surely, 2^12311191200 is an apocalyptic number.

12311191200 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 12311191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26332314624).

12311191200 is an abundant number, since it is smaller than the sum of its proper divisors (40353438048).

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

12311191200 is a wasteful number, since it uses less digits than its factorization.

12311191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 12311191200 in words is "twelve billion, three hundred eleven million, one hundred ninety-one thousand, two hundred".