111213112032000 has 864 divisors, whose sum is σ = 437438042496000. Its totient is φ = 26906342400000.

The previous prime is 111213112031953. The next prime is 111213112032023. The reversal of 111213112032000 is 230211312111.

111213112032000 is a `hidden beast` number, since 1 + 1 + 12 + 1 + 311 + 20 + 320 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1580796825 + ... + 1580867175.

Almost surely, 2^{111213112032000} is an apocalyptic number.

111213112032000 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 111213112032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218719021248000).

111213112032000 is an abundant number, since it is smaller than the sum of its proper divisors (326224930464000).

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

111213112032000 is a wasteful number, since it uses less digits than its factorization.

111213112032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70898 (or 70871 counting only the distinct ones).

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

Adding to 111213112032000 its reverse (230211312111), we get a palindrome (111443323344111).

It can be divided in two parts, 1112131 and 12032000, that added together give a palindrome (13144131).

The spelling of 111213112032000 in words is "one hundred eleven trillion, two hundred thirteen billion, one hundred twelve million, thirty-two thousand".