1200300206400 has 168 divisors, whose sum is σ = 4375538965440. Its totient is φ = 320080043520.

The previous prime is 1200300206377. The next prime is 1200300206401. The reversal of 1200300206400 is 46020030021.

It is a happy number.

1200300206400 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 0 + 0 + 20 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200300206401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13849164 + ... + 13935563.

Almost surely, 2^{1200300206400} is an apocalyptic number.

1200300206400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200300206400 is an abundant number, since it is smaller than the sum of its proper divisors (3175238759040).

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

1200300206400 is a wasteful number, since it uses less digits than its factorization.

1200300206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27784758 (or 27784737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1200300206400 its reverse (46020030021), we get a palindrome (1246320236421).

The spelling of 1200300206400 in words is "one trillion, two hundred billion, three hundred million, two hundred six thousand, four hundred".