20125213030400 has 288 divisors, whose sum is σ = 51982058091600. Its totient is φ = 7720579891200.

The previous prime is 20125213030397. The next prime is 20125213030423. The reversal of 20125213030400 is 403031252102.

It is a congruent number.

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, 123771554 + ... + 123934046.

Almost surely, 2^{20125213030400} is an apocalyptic number.

20125213030400 is a gapful number since it is divisible by the number (20) 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 20125213030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25991029045800).

20125213030400 is an abundant number, since it is smaller than the sum of its proper divisors (31856845061200).

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

20125213030400 is a wasteful number, since it uses less digits than its factorization.

20125213030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162625 (or 162600 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 20125213030400 its reverse (403031252102), we get a palindrome (20528244282502).

The spelling of 20125213030400 in words is "twenty trillion, one hundred twenty-five billion, two hundred thirteen million, thirty thousand, four hundred".