200312130242400 has 288 divisors, whose sum is σ = 721906441780608. Its totient is φ = 47835732172800.

The previous prime is 200312130242377. The next prime is 200312130242447. The reversal of 200312130242400 is 4242031213002.

It is a happy number.

200312130242400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 54854937 + ... + 58392536.

It is an arithmetic number, because the mean of its divisors is an integer number (2506619589516).

Almost surely, 2^{200312130242400} is an apocalyptic number.

200312130242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200312130242400 is an abundant number, since it is smaller than the sum of its proper divisors (521594311538208).

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

200312130242400 is a wasteful number, since it uses less digits than its factorization.

200312130242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113247574 (or 113247561 counting only the distinct ones).

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

Adding to 200312130242400 its reverse (4242031213002), we get a palindrome (204554161455402).

The spelling of 200312130242400 in words is "two hundred trillion, three hundred twelve billion, one hundred thirty million, two hundred forty-two thousand, four hundred".