11110120400 has 60 divisors (see below), whose sum is σ = 27612509100. Its totient is φ = 4290800640.

The previous prime is 11110120391. The next prime is 11110120433. The reversal of 11110120400 is 402101111.

It can be written as a sum of positive squares in 6 ways, for example, as 129595456 + 10980524944 = 11384^2 + 104788^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467285 + ... + 490484.

It is an arithmetic number, because the mean of its divisors is an integer number (460208485).

Almost surely, 2^11110120400 is an apocalyptic number.

11110120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110120400 is an abundant number, since it is smaller than the sum of its proper divisors (16502388700).

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

11110120400 is a wasteful number, since it uses less digits than its factorization.

11110120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957816 (or 957805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11110120400 its reverse (402101111), we get a palindrome (11512221511).

The spelling of 11110120400 in words is "eleven billion, one hundred ten million, one hundred twenty thousand, four hundred".