11431200000 has 432 divisors, whose sum is σ = 41579963712. Its totient is φ = 2764800000.

The previous prime is 11431199999. The next prime is 11431200029. The reversal of 11431200000 is 213411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 26399784 + ... + 26400216.

It is an arithmetic number, because the mean of its divisors is an integer number (96249916).

Almost surely, 2^11431200000 is an apocalyptic number.

11431200000 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 11431200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20789981856).

11431200000 is an abundant number, since it is smaller than the sum of its proper divisors (30148763712).

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

11431200000 is an frugal number, since it uses more digits than its factorization.

11431200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11431200000 its reverse (213411), we get a palindrome (11431413411).

The spelling of 11431200000 in words is "eleven billion, four hundred thirty-one million, two hundred thousand".