111213133303200 has 288 divisors, whose sum is σ = 370528199677440. Its totient is φ = 28965865958400.

The previous prime is 111213133303193. The next prime is 111213133303249. The reversal of 111213133303200 is 2303331312111.

It is a super-2 number, since 2×111213133303200² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15182991 + ... + 21282609.

It is an arithmetic number, because the mean of its divisors is an integer number (1286556248880).

Almost surely, 2^{111213133303200} is an apocalyptic number.

111213133303200 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 111213133303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185264099838720).

111213133303200 is an abundant number, since it is smaller than the sum of its proper divisors (259315066374240).

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

111213133303200 is a wasteful number, since it uses less digits than its factorization.

111213133303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099820 (or 6099807 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 111213133303200 its reverse (2303331312111), we get a palindrome (113516464615311).

The spelling of 111213133303200 in words is "one hundred eleven trillion, two hundred thirteen billion, one hundred thirty-three million, three hundred three thousand, two hundred".