1200403312400 has 60 divisors (see below), whose sum is σ = 2884122421092. Its totient is φ = 480135774720.

The previous prime is 1200403312391. The next prime is 1200403312421. The reversal of 1200403312400 is 42133040021.

It can be written as a sum of positive squares in 6 ways, for example, as 88677692944 + 1111725619456 = 297788^2 + 1054384^2 .

It is a super-2 number, since 2×1200403312400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8633834 + ... + 8771766.

Almost surely, 2^{1200403312400} is an apocalyptic number.

1200403312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200403312400 is an abundant number, since it is smaller than the sum of its proper divisors (1683719108692).

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

1200403312400 is a wasteful number, since it uses less digits than its factorization.

1200403312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159708 (or 159697 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1200403312400 its reverse (42133040021), we get a palindrome (1242536352421).

The spelling of 1200403312400 in words is "one trillion, two hundred billion, four hundred three million, three hundred twelve thousand, four hundred".