12010001120 has 96 divisors (see below), whose sum is σ = 30612230208. Its totient is φ = 4426334208.

The previous prime is 12010001071. The next prime is 12010001131. The reversal of 12010001120 is 2110001021.

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 = 12010001098 and 12010001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195157 + ... + 1205163.

It is an arithmetic number, because the mean of its divisors is an integer number (318877398).

Almost surely, 2^12010001120 is an apocalyptic number.

12010001120 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 12010001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306115104).

12010001120 is an abundant number, since it is smaller than the sum of its proper divisors (18602229088).

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

12010001120 is a wasteful number, since it uses less digits than its factorization.

12010001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 10604 counting only the distinct ones).

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

Adding to 12010001120 its reverse (2110001021), we get a palindrome (14120002141).

Subtracting from 12010001120 its reverse (2110001021), we obtain a palindrome (9900000099).

The spelling of 12010001120 in words is "twelve billion, ten million, one thousand, one hundred twenty".