12124442000 has 120 divisors (see below), whose sum is σ = 32225005176. Its totient is φ = 4408800000.

The previous prime is 12124441919. The next prime is 12124442009. The reversal of 12124442000 is 24442121.

It can be written as a sum of positive squares in 4 ways, for example, as 1998447616 + 10125994384 = 44704^2 + 100628^2 .

It is a super-2 number, since 2×12124442000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12124442009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216950 + ... + 267050.

Almost surely, 2^12124442000 is an apocalyptic number.

12124442000 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 12124442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112502588).

12124442000 is an abundant number, since it is smaller than the sum of its proper divisors (20100563176).

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

12124442000 is a wasteful number, since it uses less digits than its factorization.

12124442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50146 (or 50119 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12124442000 its reverse (24442121), we get a palindrome (12148884121).

The spelling of 12124442000 in words is "twelve billion, one hundred twenty-four million, four hundred forty-two thousand".