11011012212120 has 256 divisors, whose sum is σ = 35005873766400. Its totient is φ = 2766579701760.

The previous prime is 11011012212113. The next prime is 11011012212173. The reversal of 11011012212120 is 2121221011011.

It is a happy number.

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 11011012212120.

It is a congruent number.

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, 26755347 + ... + 27163773.

It is an arithmetic number, because the mean of its divisors is an integer number (136741694400).

Almost surely, 2^{11011012212120} is an apocalyptic number.

11011012212120 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 11011012212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502936883200).

11011012212120 is an abundant number, since it is smaller than the sum of its proper divisors (23994861554280).

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

11011012212120 is a wasteful number, since it uses less digits than its factorization.

11011012212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408658 (or 408654 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11011012212120 its reverse (2121221011011), we get a palindrome (13132233223131).

The spelling of 11011012212120 in words is "eleven trillion, eleven billion, twelve million, two hundred twelve thousand, one hundred twenty".