11220122131002 has 128 divisors (see below), whose sum is σ = 26397464544000. Its totient is φ = 3526529529600.

The previous prime is 11220122130953. The next prime is 11220122131013. The reversal of 11220122131002 is 20013122102211.

11220122131002 is a `hidden beast` number, since 11 + 220 + 122 + 1 + 310 + 0 + 2 = 666.

It is a super-2 number, since 2×11220122131002² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666705124 + ... + 666721952.

It is an arithmetic number, because the mean of its divisors is an integer number (206230191750).

Almost surely, 2^{11220122131002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220122131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198732272000).

11220122131002 is an abundant number, since it is smaller than the sum of its proper divisors (15177342412998).

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

11220122131002 is a wasteful number, since it uses less digits than its factorization.

11220122131002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26813 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11220122131002 its reverse (20013122102211), we get a palindrome (31233244233213).

The spelling of 11220122131002 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred thirty-one thousand, two".