11012201222120 has 128 divisors (see below), whose sum is σ = 28990539325440. Its totient is φ = 3685908844800.

The previous prime is 11012201222111. The next prime is 11012201222129. The reversal of 11012201222120 is 2122210221011.

It is an interprime number because it is at equal distance from previous prime (11012201222111) and next prime (11012201222129).

It is a super-2 number, since 2×11012201222120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11012201222129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23255639 + ... + 23724441.

It is an arithmetic number, because the mean of its divisors is an integer number (226488588480).

Almost surely, 2^{11012201222120} is an apocalyptic number.

11012201222120 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 11012201222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495269662720).

11012201222120 is an abundant number, since it is smaller than the sum of its proper divisors (17978338103320).

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

11012201222120 is a wasteful number, since it uses less digits than its factorization.

11012201222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470815 (or 470811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11012201222120 its reverse (2122210221011), we get a palindrome (13134411443131).

The spelling of 11012201222120 in words is "eleven trillion, twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty".