211122111040 has 56 divisors (see below), whose sum is σ = 504450568440. Its totient is φ = 84160585728.

The previous prime is 211122110977. The next prime is 211122111041. The reversal of 211122111040 is 40111221112.

It can be written as a sum of positive squares in 4 ways, for example, as 21416566336 + 189705544704 = 146344^2 + 435552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211122111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032105 + ... + 1219624.

It is an arithmetic number, because the mean of its divisors is an integer number (9008045865).

Almost surely, 2^211122111040 is an apocalyptic number.

211122111040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122111040 is an abundant number, since it is smaller than the sum of its proper divisors (293328457400).

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

211122111040 is a wasteful number, since it uses less digits than its factorization.

211122111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252039 (or 2252029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211122111040 its reverse (40111221112), we get a palindrome (251233332152).

The spelling of 211122111040 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, forty".