1200113032320 has 768 divisors, whose sum is σ = 4328490441600. Its totient is φ = 306146967552.

The previous prime is 1200113032309. The next prime is 1200113032331. The reversal of 1200113032320 is 232303110021.

1200113032320 is a `hidden beast` number, since 1 + 200 + 113 + 0 + 32 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1200113032309) and next prime (1200113032331).

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

It is a junction number, because it is equal to n+sod(n) for n = 1200113032293 and 1200113032302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6218202144 + ... + 6218202336.

Almost surely, 2^{1200113032320} is an apocalyptic number.

1200113032320 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 1200113032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164245220800).

1200113032320 is an abundant number, since it is smaller than the sum of its proper divisors (3128377409280).

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

1200113032320 is a wasteful number, since it uses less digits than its factorization.

1200113032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1200113032320 its reverse (232303110021), we get a palindrome (1432416142341).

The spelling of 1200113032320 in words is "one trillion, two hundred billion, one hundred thirteen million, thirty-two thousand, three hundred twenty".