11121223131000 has 320 divisors, whose sum is σ = 38939707366560. Its totient is φ = 2960712000000.

The previous prime is 11121223130989. The next prime is 11121223131001. The reversal of 11121223131000 is 13132212111.

11121223131000 is a `hidden beast` number, since 1 + 1 + 121 + 2 + 231 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×11121223131000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121223131001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48566775 + ... + 48795225.

Almost surely, 2^{11121223131000} is an apocalyptic number.

11121223131000 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 11121223131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19469853683280).

11121223131000 is an abundant number, since it is smaller than the sum of its proper divisors (27818484235560).

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

11121223131000 is a wasteful number, since it uses less digits than its factorization.

11121223131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229085 (or 229062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11121223131000 its reverse (13132212111), we get a palindrome (11134355343111).

The spelling of 11121223131000 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred thirty-one thousand".