11311221114000 has 120 divisors (see below), whose sum is σ = 39506325007032. Its totient is φ = 3016325625600.

The previous prime is 11311221113939. The next prime is 11311221114001. The reversal of 11311221114000 is 41112211311.

11311221114000 is a `hidden beast` number, since 1 + 1 + 31 + 1 + 221 + 11 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1040375520144 + 10270845593856 = 1019988^2 + 3204816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (11311221114001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314182587 + ... + 314218586.

Almost surely, 2^{11311221114000} is an apocalyptic number.

11311221114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311221114000 is an abundant number, since it is smaller than the sum of its proper divisors (28195103893032).

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

11311221114000 is a wasteful number, since it uses less digits than its factorization.

11311221114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628401202 (or 628401183 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11311221114000 its reverse (41112211311), we get a palindrome (11352333325311).

The spelling of 11311221114000 in words is "eleven trillion, three hundred eleven billion, two hundred twenty-one million, one hundred fourteen thousand".