111542661120 has 416 divisors, whose sum is σ = 392274722304. Its totient is φ = 26836992000.

The previous prime is 111542661059. The next prime is 111542661143. The reversal of 111542661120 is 21166245111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102051294 + ... + 102052386.

Almost surely, 2^111542661120 is an apocalyptic number.

111542661120 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 111542661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196137361152).

111542661120 is an abundant number, since it is smaller than the sum of its proper divisors (280732061184).

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

111542661120 is a wasteful number, since it uses less digits than its factorization.

111542661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 111542661120 in words is "one hundred eleven billion, five hundred forty-two million, six hundred sixty-one thousand, one hundred twenty".