11000012120 has 32 divisors (see below), whose sum is σ = 24969064320. Its totient is φ = 4361064960.

The previous prime is 11000012119. The next prime is 11000012123. The reversal of 11000012120 is 2121000011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11000012098 and 11000012107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1212296 + ... + 1221335.

It is an arithmetic number, because the mean of its divisors is an integer number (780283260).

Almost surely, 2^11000012120 is an apocalyptic number.

11000012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000012120 is an abundant number, since it is smaller than the sum of its proper divisors (13969052200).

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

11000012120 is a wasteful number, since it uses less digits than its factorization.

11000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433755 (or 2433751 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000012120 its reverse (2121000011), we get a palindrome (13121012131).

The spelling of 11000012120 in words is "eleven billion, twelve thousand, one hundred twenty".