11431432221000 has 256 divisors, whose sum is σ = 39252773664000. Its totient is φ = 2746731008000.

The previous prime is 11431432220981. The next prime is 11431432221061. The reversal of 11431432221000 is 12223413411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2196226 + ... + 5261774.

It is an arithmetic number, because the mean of its divisors is an integer number (153331147125).

Almost surely, 2^{11431432221000} is an apocalyptic number.

11431432221000 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 11431432221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626386832000).

11431432221000 is an abundant number, since it is smaller than the sum of its proper divisors (27821341443000).

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

11431432221000 is a wasteful number, since it uses less digits than its factorization.

11431432221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065697 (or 3065683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11431432221000 its reverse (12223413411), we get a palindrome (11443655634411).

The spelling of 11431432221000 in words is "eleven trillion, four hundred thirty-one billion, four hundred thirty-two million, two hundred twenty-one thousand".