11201121040 has 40 divisors (see below), whose sum is σ = 26208512280. Its totient is φ = 4451905536.

The previous prime is 11201121023. The next prime is 11201121047. The reversal of 11201121040 is 4012110211.

It can be written as a sum of positive squares in 4 ways, for example, as 1874197264 + 9326923776 = 43292^2 + 96576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11201121040² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11201121040.

It is not an unprimeable number, because it can be changed into a prime (11201121047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433345 + ... + 458464.

It is an arithmetic number, because the mean of its divisors is an integer number (655212807).

Almost surely, 2^11201121040 is an apocalyptic number.

11201121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201121040 is an abundant number, since it is smaller than the sum of its proper divisors (15007391240).

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

11201121040 is a wasteful number, since it uses less digits than its factorization.

11201121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891979 (or 891973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11201121040 its reverse (4012110211), we get a palindrome (15213231251).

The spelling of 11201121040 in words is "eleven billion, two hundred one million, one hundred twenty-one thousand, forty".