11000022120120 has 192 divisors, whose sum is σ = 36503844723360. Its totient is φ = 2649686307840.

The previous prime is 11000022120119. The next prime is 11000022120127. The reversal of 11000022120120 is 2102122000011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11000022120096 and 11000022120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000022120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133027 + ... + 4692306.

Almost surely, 2^{11000022120120} is an apocalyptic number.

11000022120120 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 11000022120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251922361680).

11000022120120 is an abundant number, since it is smaller than the sum of its proper divisors (25503822603240).

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

11000022120120 is a wasteful number, since it uses less digits than its factorization.

11000022120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825526 (or 4825511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000022120120 its reverse (2102122000011), we get a palindrome (13102144120131).

The spelling of 11000022120120 in words is "eleven trillion, twenty-two million, one hundred twenty thousand, one hundred twenty".