1200834201600 has 1080 divisors, whose sum is σ = 4890764568690. Its totient is φ = 290989670400.

The previous prime is 1200834201521. The next prime is 1200834201613. The reversal of 1200834201600 is 61024380021.

1200834201600 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 34 + 20 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 517156586496 + 683677615104 = 719136^2 + 826848^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 89 ways as a sum of consecutive naturals, for example, 501810004 + ... + 501812396.

Almost surely, 2^{1200834201600} is an apocalyptic number.

1200834201600 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 1200834201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445382284345).

1200834201600 is an abundant number, since it is smaller than the sum of its proper divisors (3689930367090).

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

1200834201600 is a wasteful number, since it uses less digits than its factorization.

1200834201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1200834201600 its reverse (61024380021), we get a palindrome (1261858581621).

The spelling of 1200834201600 in words is "one trillion, two hundred billion, eight hundred thirty-four million, two hundred one thousand, six hundred".