111322149120 has 2304 divisors, whose sum is σ = 540636364800. Its totient is φ = 21284093952.

The previous prime is 111322149091. The next prime is 111322149161. The reversal of 111322149120 is 21941223111.

111322149120 is a `hidden beast` number, since 1 + 1 + 132 + 21 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4840093429 + ... + 4840093451.

It is an arithmetic number, because the mean of its divisors is an integer number (234651200).

Almost surely, 2^111322149120 is an apocalyptic number.

111322149120 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 111322149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270318182400).

111322149120 is an abundant number, since it is smaller than the sum of its proper divisors (429314215680).

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

111322149120 is an equidigital number, since it uses as much as digits as its factorization.

111322149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 111322149120 in words is "one hundred eleven billion, three hundred twenty-two million, one hundred forty-nine thousand, one hundred twenty".