1121100114400 has 144 divisors (see below), whose sum is σ = 3179146834080. Its totient is φ = 378075801600.

The previous prime is 1121100114397. The next prime is 1121100114413. The reversal of 1121100114400 is 44110011211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 1299355 + ... + 1982554.

It is an arithmetic number, because the mean of its divisors is an integer number (22077408570).

Almost surely, 2^{1121100114400} is an apocalyptic number.

1121100114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121100114400 is an abundant number, since it is smaller than the sum of its proper divisors (2058046719680).

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

1121100114400 is a wasteful number, since it uses less digits than its factorization.

1121100114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281997 (or 3281984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1121100114400 its reverse (44110011211), we get a palindrome (1165210125611).

The spelling of 1121100114400 in words is "one trillion, one hundred twenty-one billion, one hundred million, one hundred fourteen thousand, four hundred".