111100211211120 has 80 divisors (see below), whose sum is σ = 344432441237280. Its totient is φ = 29624848883712.

The previous prime is 111100211211109. The next prime is 111100211211131. The reversal of 111100211211120 is 21112112001111.

It is an interprime number because it is at equal distance from previous prime (111100211211109) and next prime (111100211211131).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111100211211120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10837465 + ... + 18429624.

It is an arithmetic number, because the mean of its divisors is an integer number (4305405515466).

Almost surely, 2^{111100211211120} is an apocalyptic number.

111100211211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100211211120 is an abundant number, since it is smaller than the sum of its proper divisors (233332230026160).

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

111100211211120 is a wasteful number, since it uses less digits than its factorization.

111100211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29282922 (or 29282916 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111100211211120 its reverse (21112112001111), we get a palindrome (132212323212231).

The spelling of 111100211211120 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".