11001012120 has 384 divisors, whose sum is σ = 43435491840. Its totient is φ = 2357268480.

The previous prime is 11001012109. The next prime is 11001012131. The reversal of 11001012120 is 2121010011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11001012109) and next prime (11001012131).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21034179 + ... + 21034701.

It is an arithmetic number, because the mean of its divisors is an integer number (113113260).

Almost surely, 2^11001012120 is an apocalyptic number.

11001012120 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 11001012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717745920).

11001012120 is an abundant number, since it is smaller than the sum of its proper divisors (32434479720).

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

11001012120 is a wasteful number, since it uses less digits than its factorization.

11001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001012120 its reverse (2121010011), we get a palindrome (13122022131).

The spelling of 11001012120 in words is "eleven billion, one million, twelve thousand, one hundred twenty".