200144121100400 has 120 divisors (see below), whose sum is σ = 486867105653760. Its totient is φ = 79059547134720.

The previous prime is 200144121100379. The next prime is 200144121100423. The reversal of 200144121100400 is 4001121441002.

It is a super-2 number, since 2×200144121100400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8024969 + ... + 21556631.

It is an arithmetic number, because the mean of its divisors is an integer number (4057225880448).

Almost surely, 2^{200144121100400} is an apocalyptic number.

200144121100400 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 200144121100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243433552826880).

200144121100400 is an abundant number, since it is smaller than the sum of its proper divisors (286722984553360).

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

200144121100400 is a wasteful number, since it uses less digits than its factorization.

200144121100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13532143 (or 13532132 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 200144121100400 its reverse (4001121441002), we get a palindrome (204145242541402).

The spelling of 200144121100400 in words is "two hundred trillion, one hundred forty-four billion, one hundred twenty-one million, one hundred thousand, four hundred".