1203223312800 has 180 divisors, whose sum is σ = 4387921698006. Its totient is φ = 320859532800.

The previous prime is 1203223312787. The next prime is 1203223312813. The reversal of 1203223312800 is 82133223021.

It is a happy number.

1203223312800 is a `hidden beast` number, since 1 + 2 + 0 + 322 + 331 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1203223312787) and next prime (1203223312813).

It can be written as a sum of positive squares in 3 ways, for example, as 577156245264 + 626067067536 = 759708^2 + 791244^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9219331 + ... + 9348930.

Almost surely, 2^{1203223312800} is an apocalyptic number.

1203223312800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1203223312800 is an abundant number, since it is smaller than the sum of its proper divisors (3184698385206).

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

1203223312800 is a wasteful number, since it uses less digits than its factorization.

1203223312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568293 (or 18568271 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1203223312800 its reverse (82133223021), we get a palindrome (1285356535821).

The spelling of 1203223312800 in words is "one trillion, two hundred three billion, two hundred twenty-three million, three hundred twelve thousand, eight hundred".