11200121021220 has 192 divisors, whose sum is σ = 32124678921216. Its totient is φ = 2914301399040.

The previous prime is 11200121021149. The next prime is 11200121021251. The reversal of 11200121021220 is 2212012100211.

11200121021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11200121021220.

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, 1924085910 + ... + 1924091730.

It is an arithmetic number, because the mean of its divisors is an integer number (167316036048).

Almost surely, 2^{11200121021220} is an apocalyptic number.

11200121021220 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 11200121021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062339460608).

11200121021220 is an abundant number, since it is smaller than the sum of its proper divisors (20924557899996).

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

11200121021220 is a wasteful number, since it uses less digits than its factorization.

11200121021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7830 (or 7828 counting only the distinct ones).

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

Adding to 11200121021220 its reverse (2212012100211), we get a palindrome (13412133121431).

The spelling of 11200121021220 in words is "eleven trillion, two hundred billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".