110012120400 has 960 divisors, whose sum is σ = 483569049600. Its totient is φ = 20689551360.

The previous prime is 110012120377. The next prime is 110012120431. The reversal of 110012120400 is 4021210011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35270041 + ... + 35273159.

It is an arithmetic number, because the mean of its divisors is an integer number (503717760).

Almost surely, 2^110012120400 is an apocalyptic number.

110012120400 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 110012120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241784524800).

110012120400 is an abundant number, since it is smaller than the sum of its proper divisors (373556929200).

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

110012120400 is a wasteful number, since it uses less digits than its factorization.

110012120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3185 counting only the distinct ones).

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

Adding to 110012120400 its reverse (4021210011), we get a palindrome (114033330411).

The spelling of 110012120400 in words is "one hundred ten billion, twelve million, one hundred twenty thousand, four hundred".