12125410000 has 200 divisors, whose sum is σ = 32325752448. Its totient is φ = 4404400000.

The previous prime is 12125409931. The next prime is 12125410001. The reversal of 12125410000 is 1452121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125410001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13309545 + ... + 13310455.

Almost surely, 2^12125410000 is an apocalyptic number.

12125410000 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 12125410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162876224).

12125410000 is an abundant number, since it is smaller than the sum of its proper divisors (20200342448).

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

12125410000 is an frugal number, since it uses more digits than its factorization.

12125410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12125410000 its reverse (1452121), we get a palindrome (12126862121).

The spelling of 12125410000 in words is "twelve billion, one hundred twenty-five million, four hundred ten thousand".