11211002012120 has 128 divisors (see below), whose sum is σ = 27527323392000. Its totient is φ = 4093020771840.

The previous prime is 11211002012071. The next prime is 11211002012123. The reversal of 11211002012120 is 2121020011211.

It is a super-2 number, since 2×11211002012120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11211002012095 and 11211002012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211002012123) 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, 9655205 + ... + 10753835.

It is an arithmetic number, because the mean of its divisors is an integer number (215057214000).

Almost surely, 2^{11211002012120} is an apocalyptic number.

11211002012120 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 11211002012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763661696000).

11211002012120 is an abundant number, since it is smaller than the sum of its proper divisors (16316321379880).

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

11211002012120 is a wasteful number, since it uses less digits than its factorization.

11211002012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099153 (or 1099149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11211002012120 its reverse (2121020011211), we get a palindrome (13332022023331).

The spelling of 11211002012120 in words is "eleven trillion, two hundred eleven billion, two million, twelve thousand, one hundred twenty".