11310023122200 has 288 divisors, whose sum is σ = 42555701550960. Its totient is φ = 2667720268800.

The previous prime is 11310023122147. The next prime is 11310023122301. The reversal of 11310023122200 is 222132001311.

11310023122200 is a `hidden beast` number, since 1 + 131 + 0 + 0 + 2 + 312 + 220 + 0 = 666.

It is a super-2 number, since 2×11310023122200² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6986499 + ... + 8451698.

Almost surely, 2^{11310023122200} is an apocalyptic number.

11310023122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310023122200 is an abundant number, since it is smaller than the sum of its proper divisors (31245678428760).

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

11310023122200 is a wasteful number, since it uses less digits than its factorization.

11310023122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15438267 (or 15438255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11310023122200 its reverse (222132001311), we get a palindrome (11532155123511).

The spelling of 11310023122200 in words is "eleven trillion, three hundred ten billion, twenty-three million, one hundred twenty-two thousand, two hundred".