11220121121000 has 256 divisors, whose sum is σ = 29651358597120. Its totient is φ = 3937009440000.

The previous prime is 11220121120979. The next prime is 11220121121021. The reversal of 11220121121000 is 12112102211.

It is an interprime number because it is at equal distance from previous prime (11220121120979) and next prime (11220121121021).

It is a super-2 number, since 2×11220121121000² (a number of 27 digits) contains 22 as substring.

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, 118279589 + ... + 118374411.

It is an arithmetic number, because the mean of its divisors is an integer number (115825619520).

Almost surely, 2^{11220121121000} is an apocalyptic number.

11220121121000 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 11220121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825679298560).

11220121121000 is an abundant number, since it is smaller than the sum of its proper divisors (18431237476120).

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

11220121121000 is a wasteful number, since it uses less digits than its factorization.

11220121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95233 (or 95219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11220121121000 its reverse (12112102211), we get a palindrome (11232233223211).

It can be divided in two parts, 112201211 and 21000, that added together give a palindrome (112222211).

The spelling of 11220121121000 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand".