1200332031200 has 144 divisors (see below), whose sum is σ = 2999826655056. Its totient is φ = 468752793600.

The previous prime is 1200332031191. The next prime is 1200332031203. The reversal of 1200332031200 is 21302330021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200332031203) 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, 90155744 + ... + 90169056.

It is an arithmetic number, because the mean of its divisors is an integer number (20832129549).

Almost surely, 2^{1200332031200} is an apocalyptic number.

1200332031200 is a gapful number since it is divisible by the number (10) 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 1200332031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499913327528).

1200332031200 is an abundant number, since it is smaller than the sum of its proper divisors (1799494623856).

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

1200332031200 is a wasteful number, since it uses less digits than its factorization.

1200332031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15997 (or 15984 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1200332031200 its reverse (21302330021), we get a palindrome (1221634361221).

The spelling of 1200332031200 in words is "one trillion, two hundred billion, three hundred thirty-two million, thirty-one thousand, two hundred".