11800292112 has 320 divisors, whose sum is σ = 39955776000. Its totient is φ = 3332689920.

The previous prime is 11800292107. The next prime is 11800292131. The reversal of 11800292112 is 21129200811.

11800292112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14372662 + ... + 14373482.

It is an arithmetic number, because the mean of its divisors is an integer number (124861800).

Almost surely, 2^11800292112 is an apocalyptic number.

11800292112 is a gapful number since it is divisible by the number (12) 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 11800292112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977888000).

11800292112 is an abundant number, since it is smaller than the sum of its proper divisors (28155483888).

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

11800292112 is an equidigital number, since it uses as much as digits as its factorization.

11800292112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 11800292112 its reverse (21129200811), we get a palindrome (32929492923).

The spelling of 11800292112 in words is "eleven billion, eight hundred million, two hundred ninety-two thousand, one hundred twelve".