12111201000 has 160 divisors (see below), whose sum is σ = 42335659080. Its totient is φ = 3229632000.

The previous prime is 12111200963. The next prime is 12111201043. The reversal of 12111201000 is 10211121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7099410564 + 5011790436 = 84258^2 + 70794^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6240 + ... + 155760.

Almost surely, 2^12111201000 is an apocalyptic number.

12111201000 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 12111201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167829540).

12111201000 is an abundant number, since it is smaller than the sum of its proper divisors (30224458080).

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

12111201000 is a wasteful number, since it uses less digits than its factorization.

12111201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149554 (or 149531 counting only the distinct ones).

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

Adding to 12111201000 its reverse (10211121), we get a palindrome (12121412121).

The spelling of 12111201000 in words is "twelve billion, one hundred eleven million, two hundred one thousand".