11121128154252 has 144 divisors (see below), whose sum is σ = 30365180681472. Its totient is φ = 3424643089920.

The previous prime is 11121128154209. The next prime is 11121128154277. The reversal of 11121128154252 is 25245182112111.

11121128154252 is a `hidden beast` number, since 1 + 1 + 1 + 21 + 12 + 81 + 542 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352363 + ... + 4729314.

It is an arithmetic number, because the mean of its divisors is an integer number (210869310288).

Almost surely, 2^{11121128154252} is an apocalyptic number.

11121128154252 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 11121128154252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182590340736).

11121128154252 is an abundant number, since it is smaller than the sum of its proper divisors (19244052527220).

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

11121128154252 is a wasteful number, since it uses less digits than its factorization.

11121128154252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081808 (or 5081803 counting only the distinct ones).

The product of its digits is 12800, while the sum is 36.

The spelling of 11121128154252 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-eight million, one hundred fifty-four thousand, two hundred fifty-two".