110120120040 has 256 divisors, whose sum is σ = 400584683520. Its totient is φ = 23641067520.

The previous prime is 110120120039. The next prime is 110120120069. The reversal of 110120120040 is 40021021011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110120119998 and 110120120025.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7175175 + ... + 7190505.

It is an arithmetic number, because the mean of its divisors is an integer number (1564783920).

Almost surely, 2^110120120040 is an apocalyptic number.

110120120040 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 110120120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200292341760).

110120120040 is an abundant number, since it is smaller than the sum of its proper divisors (290464563480).

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

110120120040 is a wasteful number, since it uses less digits than its factorization.

110120120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110120120040 its reverse (40021021011), we get a palindrome (150141141051).

The spelling of 110120120040 in words is "one hundred ten billion, one hundred twenty million, one hundred twenty thousand, forty".