11200012110096 has 160 divisors (see below), whose sum is σ = 30679609712640. Its totient is φ = 3510988664832.

The previous prime is 11200012110061. The next prime is 11200012110101. The reversal of 11200012110096 is 69001121000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 71713725 + ... + 71869731.

It is an arithmetic number, because the mean of its divisors is an integer number (191747560704).

Almost surely, 2^{11200012110096} is an apocalyptic number.

11200012110096 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 11200012110096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339804856320).

11200012110096 is an abundant number, since it is smaller than the sum of its proper divisors (19479597602544).

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

11200012110096 is a wasteful number, since it uses less digits than its factorization.

11200012110096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156613 (or 156607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 11200012110096 in words is "eleven trillion, two hundred billion, twelve million, one hundred ten thousand, ninety-six".