110012211296 has 192 divisors, whose sum is σ = 254466878400. Its totient is φ = 46374322176.

The previous prime is 110012211227. The next prime is 110012211319. The reversal of 110012211296 is 692112210011.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33044960 + ... + 33048288.

It is an arithmetic number, because the mean of its divisors is an integer number (1325348325).

Almost surely, 2^110012211296 is an apocalyptic number.

110012211296 is a gapful number since it is divisible by the number (16) 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 110012211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127233439200).

110012211296 is an abundant number, since it is smaller than the sum of its proper divisors (144454667104).

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

110012211296 is a wasteful number, since it uses less digits than its factorization.

110012211296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 110012211296 in words is "one hundred ten billion, twelve million, two hundred eleven thousand, two hundred ninety-six".