11312002122300 has 216 divisors, whose sum is σ = 40013992221840. Its totient is φ = 2647741286400.

The previous prime is 11312002122251. The next prime is 11312002122347. The reversal of 11312002122300 is 322120021311.

11312002122300 is a `hidden beast` number, since 1 + 131 + 20 + 0 + 212 + 2 + 300 = 666.

11312002122300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11312002122300² (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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19413357 + ... + 19987556.

It is an arithmetic number, because the mean of its divisors is an integer number (185249963990).

Almost surely, 2^{11312002122300} is an apocalyptic number.

11312002122300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312002122300 is an abundant number, since it is smaller than the sum of its proper divisors (28701990099540).

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

11312002122300 is a wasteful number, since it uses less digits than its factorization.

11312002122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39400973 (or 39400963 counting only the distinct ones).

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

Adding to 11312002122300 its reverse (322120021311), we get a palindrome (11634122143611).

The spelling of 11312002122300 in words is "eleven trillion, three hundred twelve billion, two million, one hundred twenty-two thousand, three hundred".