11220002121120 has 768 divisors, whose sum is σ = 39521028556800. Its totient is φ = 2657982873600.

The previous prime is 11220002121019. The next prime is 11220002121149. The reversal of 11220002121120 is 2112120002211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220002121120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10695902356 + ... + 10695903404.

It is an arithmetic number, because the mean of its divisors is an integer number (51459672600).

Almost surely, 2^{11220002121120} is an apocalyptic number.

11220002121120 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 11220002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760514278400).

11220002121120 is an abundant number, since it is smaller than the sum of its proper divisors (28301026435680).

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

11220002121120 is a wasteful number, since it uses less digits than its factorization.

11220002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220002121120 its reverse (2112120002211), we get a palindrome (13332122123331).

The spelling of 11220002121120 in words is "eleven trillion, two hundred twenty billion, two million, one hundred twenty-one thousand, one hundred twenty".