11123250884100 has 54 divisors (see below), whose sum is σ = 34865211940650. Its totient is φ = 2966200235520.

The previous prime is 11123250884099. The next prime is 11123250884107. The reversal of 11123250884100 is 148805232111.

It is a happy number.

11123250884100 is a `hidden beast` number, since 1 + 1 + 1 + 232 + 5 + 0 + 8 + 8 + 410 + 0 = 666.

11123250884100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 59072330304 + 11064178553796 = 243048^2 + 3326286^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11123250884107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6179582925 + ... + 6179584724.

It is an arithmetic number, because the mean of its divisors is an integer number (645652072975).

Almost surely, 2^{11123250884100} is an apocalyptic number.

11123250884100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123250884100 is an abundant number, since it is smaller than the sum of its proper divisors (23741961056550).

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

11123250884100 is a wasteful number, since it uses less digits than its factorization.

11123250884100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12359167669 (or 12359167659 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11123250884100 in words is "eleven trillion, one hundred twenty-three billion, two hundred fifty million, eight hundred eighty-four thousand, one hundred".