1201611600 has 360 divisors, whose sum is σ = 4886062272. Its totient is φ = 267724800.

The previous prime is 1201611583. The next prime is 1201611613. The reversal of 1201611600 is 61161021.

1201611600 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 61 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1032619 + ... + 1033781.

Almost surely, 2^1201611600 is an apocalyptic number.

1201611600 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 1201611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443031136).

1201611600 is an abundant number, since it is smaller than the sum of its proper divisors (3684450672).

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

1201611600 is a wasteful number, since it uses less digits than its factorization.

1201611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1201611600 is about 34664.2697889340. The cubic root of 1201611600 is about 1063.1340731983.

Adding to 1201611600 its reverse (61161021), we get a palindrome (1262772621).

It can be divided in two parts, 1 and 201611600, that added together give a square (201611601 = 14199²).

The spelling of 1201611600 in words is "one billion, two hundred one million, six hundred eleven thousand, six hundred".