110010001011200 has 240 divisors, whose sum is σ = 276732965784000. Its totient is φ = 43330527313920.

The previous prime is 110010001011179. The next prime is 110010001011301. The reversal of 110010001011200 is 2110100010011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2357519069 + ... + 2357565731.

It is an arithmetic number, because the mean of its divisors is an integer number (1153054024100).

Almost surely, 2^{110010001011200} is an apocalyptic number.

110010001011200 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 110010001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138366482892000).

110010001011200 is an abundant number, since it is smaller than the sum of its proper divisors (166722964772800).

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

110010001011200 is an equidigital number, since it uses as much as digits as its factorization.

110010001011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49507 (or 49486 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110010001011200 its reverse (2110100010011), we get a palindrome (112120101021211).

The spelling of 110010001011200 in words is "one hundred ten trillion, ten billion, one million, eleven thousand, two hundred".