200412231444100 has 144 divisors (see below), whose sum is σ = 468763393851088. Its totient is φ = 73932747356160.

The previous prime is 200412231444091. The next prime is 200412231444101. The reversal of 200412231444100 is 1444132214002.

It can be written as a sum of positive squares in 24 ways, for example, as 36619127287876 + 163793104156224 = 6051374^2 + 12798168^2 .

It is not an unprimeable number, because it can be changed into a prime (200412231444101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15709974922 + ... + 15709987678.

Almost surely, 2^{200412231444100} is an apocalyptic number.

200412231444100 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 200412231444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234381696925544).

200412231444100 is an abundant number, since it is smaller than the sum of its proper divisors (268351162406988).

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

200412231444100 is a wasteful number, since it uses less digits than its factorization.

200412231444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22554 (or 22547 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 200412231444100 its reverse (1444132214002), we get a palindrome (201856363658102).

The spelling of 200412231444100 in words is "two hundred trillion, four hundred twelve billion, two hundred thirty-one million, four hundred forty-four thousand, one hundred".