110842541061120 has 1408 divisors, whose sum is σ = 436942435438080. Its totient is φ = 26421897461760.

The previous prime is 110842541061101. The next prime is 110842541061139. The reversal of 110842541061120 is 21160145248011.

110842541061120 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 4 + 2 + 5 + 4 + 10 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (110842541061101) and next prime (110842541061139).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41405505222 + ... + 41405507898.

It is an arithmetic number, because the mean of its divisors is an integer number (310328434260).

Almost surely, 2^{110842541061120} is an apocalyptic number.

110842541061120 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 110842541061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218471217719040).

110842541061120 is an abundant number, since it is smaller than the sum of its proper divisors (326099894376960).

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

110842541061120 is a wasteful number, since it uses less digits than its factorization.

110842541061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 110842541061120 in words is "one hundred ten trillion, eight hundred forty-two billion, five hundred forty-one million, sixty-one thousand, one hundred twenty".