11012221220320 has 96 divisors (see below), whose sum is σ = 26261151618240. Its totient is φ = 4363463208960.

The previous prime is 11012221220257. The next prime is 11012221220339. The reversal of 11012221220320 is 2302212221011.

It is a super-2 number, since 2×11012221220320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77379949 + ... + 77522131.

It is an arithmetic number, because the mean of its divisors is an integer number (273553662690).

Almost surely, 2^{11012221220320} is an apocalyptic number.

11012221220320 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 11012221220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130575809120).

11012221220320 is an abundant number, since it is smaller than the sum of its proper divisors (15248930397920).

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

11012221220320 is a wasteful number, since it uses less digits than its factorization.

11012221220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146748 (or 146740 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11012221220320 its reverse (2302212221011), we get a palindrome (13314433441331).

The spelling of 11012221220320 in words is "eleven trillion, twelve billion, two hundred twenty-one million, two hundred twenty thousand, three hundred twenty".