11012201212120 has 128 divisors (see below), whose sum is σ = 26985412440000. Its totient is φ = 4028471580672.

The previous prime is 11012201212109. The next prime is 11012201212123. The reversal of 11012201212120 is 2121210221011.

11012201212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11012201212094 and 11012201212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012201212123) 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, 142538142 + ... + 142615378.

Almost surely, 2^{11012201212120} is an apocalyptic number.

11012201212120 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 11012201212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492706220000).

11012201212120 is an abundant number, since it is smaller than the sum of its proper divisors (15973211227880).

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

11012201212120 is a wasteful number, since it uses less digits than its factorization.

11012201212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83765 (or 83761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11012201212120 its reverse (2121210221011), we get a palindrome (13133411433131).

The spelling of 11012201212120 in words is "eleven trillion, twelve billion, two hundred one million, two hundred twelve thousand, one hundred twenty".