221040040122 has 96 divisors (see below), whose sum is σ = 532474076160. Its totient is φ = 65702720160.

The previous prime is 221040040097. The next prime is 221040040129.

221040040122 is a `hidden beast` number, since 2 + 210 + 400 + 40 + 12 + 2 = 666.

221040040122 is nontrivially palindromic in base 10.

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 = 221040040095 and 221040040104.

It is not an unprimeable number, because it can be changed into a prime (221040040129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5388333 + ... + 5429199.

It is an arithmetic number, because the mean of its divisors is an integer number (5546604960).

Almost surely, 2^221040040122 is an apocalyptic number.

221040040122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221040040122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266237038080).

221040040122 is an abundant number, since it is smaller than the sum of its proper divisors (311434036038).

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

221040040122 is a wasteful number, since it uses less digits than its factorization.

221040040122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41408 (or 41405 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2210400 and 40122, that added together give a palindrome (2250522).

The spelling of 221040040122 in words is "two hundred twenty-one billion, forty million, forty thousand, one hundred twenty-two".