202501122400 has 72 divisors (see below), whose sum is σ = 494977694400. Its totient is φ = 80898562560.

The previous prime is 202501122353. The next prime is 202501122407. The reversal of 202501122400 is 4221105202.

202501122400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202501122407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478801 + ... + 796399.

It is an arithmetic number, because the mean of its divisors is an integer number (6874690200).

Almost surely, 2^202501122400 is an apocalyptic number.

202501122400 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 202501122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247488847200).

202501122400 is an abundant number, since it is smaller than the sum of its proper divisors (292476572000).

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

202501122400 is a wasteful number, since it uses less digits than its factorization.

202501122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318416 (or 318403 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 202501122400 its reverse (4221105202), we get a palindrome (206722227602).

The spelling of 202501122400 in words is "two hundred two billion, five hundred one million, one hundred twenty-two thousand, four hundred".