202104120400 has 240 divisors, whose sum is σ = 618216681600. Its totient is φ = 61756692480.

The previous prime is 202104120331. The next prime is 202104120409. The reversal of 202104120400 is 4021401202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202104120409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959871 + ... + 1151329.

It is an arithmetic number, because the mean of its divisors is an integer number (2575902840).

Almost surely, 2^202104120400 is an apocalyptic number.

202104120400 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 202104120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309108340800).

202104120400 is an abundant number, since it is smaller than the sum of its proper divisors (416112561200).

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

202104120400 is a wasteful number, since it uses less digits than its factorization.

202104120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191526 (or 191515 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202104120400 its reverse (4021401202), we get a palindrome (206125521602).

The spelling of 202104120400 in words is "two hundred two billion, one hundred four million, one hundred twenty thousand, four hundred".