20301122400 has 288 divisors, whose sum is σ = 71720909568. Its totient is φ = 4958054400.

The previous prime is 20301122399. The next prime is 20301122419. The reversal of 20301122400 is 422110302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20301122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4084717 + ... + 4089683.

It is an arithmetic number, because the mean of its divisors is an integer number (249030936).

Almost surely, 2^20301122400 is an apocalyptic number.

20301122400 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 20301122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35860454784).

20301122400 is an abundant number, since it is smaller than the sum of its proper divisors (51419787168).

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

20301122400 is a wasteful number, since it uses less digits than its factorization.

20301122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20301122400 its reverse (422110302), we get a palindrome (20723232702).

The spelling of 20301122400 in words is "twenty billion, three hundred one million, one hundred twenty-two thousand, four hundred".