1201200616 has 128 divisors (see below), whose sum is σ = 2903040000. Its totient is φ = 452390400.

The previous prime is 1201200607. The next prime is 1201200641. The reversal of 1201200616 is 6160021021.

It is a junction number, because it is equal to n+sod(n) for n = 1201200593 and 1201200602.

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 31 ways as a sum of consecutive naturals, for example, 5025825 + ... + 5026063.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2^1201200616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201200616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

1201200616 is an abundant number, since it is smaller than the sum of its proper divisors (1701839384).

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

1201200616 is a wasteful number, since it uses less digits than its factorization.

1201200616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1201200616 is about 34658.3412182407. The cubic root of 1201200616 is about 1063.0128524096.

Adding to 1201200616 its reverse (6160021021), we get a palindrome (7361221637).

The spelling of 1201200616 in words is "one billion, two hundred one million, two hundred thousand, six hundred sixteen".