12010444100 has 72 divisors (see below), whose sum is σ = 26227649448. Its totient is φ = 4773888000.

The previous prime is 12010444097. The next prime is 12010444123. The reversal of 12010444100 is 144401021.

It can be written as a sum of positive squares in 12 ways, for example, as 1899739396 + 10110704704 = 43586^2 + 100552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19983800 + ... + 19984400.

It is an arithmetic number, because the mean of its divisors is an integer number (364272909).

Almost surely, 2^12010444100 is an apocalyptic number.

12010444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010444100 is an abundant number, since it is smaller than the sum of its proper divisors (14217205348).

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

12010444100 is a wasteful number, since it uses less digits than its factorization.

12010444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12010444100 its reverse (144401021), we get a palindrome (12154845121).

The spelling of 12010444100 in words is "twelve billion, ten million, four hundred forty-four thousand, one hundred".