111097084344120 has 640 divisors, whose sum is σ = 453662457177600. Its totient is φ = 23818914432000.

The previous prime is 111097084344097. The next prime is 111097084344131. The reversal of 111097084344120 is 21443480790111.

111097084344120 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 97 + 0 + 8 + 434 + 4 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42246615 + ... + 44799225.

It is an arithmetic number, because the mean of its divisors is an integer number (708847589340).

Almost surely, 2^{111097084344120} is an apocalyptic number.

111097084344120 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 111097084344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226831228588800).

111097084344120 is an abundant number, since it is smaller than the sum of its proper divisors (342565372833480).

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

111097084344120 is a wasteful number, since it uses less digits than its factorization.

111097084344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552761 (or 2552748 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 111097084344120 in words is "one hundred eleven trillion, ninety-seven billion, eighty-four million, three hundred forty-four thousand, one hundred twenty".