10025004231200 has 144 divisors (see below), whose sum is σ = 28011332160000. Its totient is φ = 3432035819520.

The previous prime is 10025004231197. The next prime is 10025004231251. The reversal of 10025004231200 is 213240052001.

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

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, 2438801 + ... + 5098799.

It is an arithmetic number, because the mean of its divisors is an integer number (194523140000).

Almost surely, 2^{10025004231200} is an apocalyptic number.

10025004231200 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 10025004231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005666080000).

10025004231200 is an abundant number, since it is smaller than the sum of its proper divisors (17986327928800).

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

10025004231200 is a wasteful number, since it uses less digits than its factorization.

10025004231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660699 (or 2660686 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10025004231200 its reverse (213240052001), we get a palindrome (10238244283201).

The spelling of 10025004231200 in words is "ten trillion, twenty-five billion, four million, two hundred thirty-one thousand, two hundred".