111211221000120 has 64 divisors (see below), whose sum is σ = 333634758157440. Its totient is φ = 29656228252800.

The previous prime is 111211221000101. The next prime is 111211221000161. The reversal of 111211221000120 is 21000122112111.

It is a happy number.

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 111211221000120.

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, 39859975 + ... + 42558665.

It is an arithmetic number, because the mean of its divisors is an integer number (5213043096210).

Almost surely, 2^{111211221000120} is an apocalyptic number.

111211221000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111211221000120 is an abundant number, since it is smaller than the sum of its proper divisors (222423537157320).

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

111211221000120 is a wasteful number, since it uses less digits than its factorization.

111211221000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042116 (or 3042112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111211221000120 its reverse (21000122112111), we get a palindrome (132211343112231).

The spelling of 111211221000120 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.