11122144020 has 288 divisors, whose sum is σ = 37857980160. Its totient is φ = 2724710400.

The previous prime is 11122143961. The next prime is 11122144037. The reversal of 11122144020 is 2044122111.

11122144020 is a `hidden beast` number, since 1 + 1 + 1 + 221 + 440 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11122143984 and 11122144002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25334961 + ... + 25335399.

It is an arithmetic number, because the mean of its divisors is an integer number (131451320).

Almost surely, 2^11122144020 is an apocalyptic number.

11122144020 is a gapful number since it is divisible by the number (10) 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 11122144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928990080).

11122144020 is an abundant number, since it is smaller than the sum of its proper divisors (26735836140).

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

11122144020 is a wasteful number, since it uses less digits than its factorization.

11122144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11122144020 its reverse (2044122111), we get a palindrome (13166266131).

The spelling of 11122144020 in words is "eleven billion, one hundred twenty-two million, one hundred forty-four thousand, twenty".