20201312234400 has 576 divisors, whose sum is σ = 74237193515520. Its totient is φ = 4726465228800.

The previous prime is 20201312234393. The next prime is 20201312234401. The reversal of 20201312234400 is 443221310202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20201312234401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2789077179 + ... + 2789084421.

It is an arithmetic number, because the mean of its divisors is an integer number (128884016520).

Almost surely, 2^{20201312234400} is an apocalyptic number.

20201312234400 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 20201312234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37118596757760).

20201312234400 is an abundant number, since it is smaller than the sum of its proper divisors (54035881281120).

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

20201312234400 is a wasteful number, since it uses less digits than its factorization.

20201312234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20201312234400 its reverse (443221310202), we get a palindrome (20644533544602).

The spelling of 20201312234400 in words is "twenty trillion, two hundred one billion, three hundred twelve million, two hundred thirty-four thousand, four hundred".