1206165200 has 60 divisors (see below), whose sum is σ = 2945376588. Its totient is φ = 474547200.

The previous prime is 1206165167. The next prime is 1206165223. The reversal of 1206165200 is 25616021.

It can be written as a sum of positive squares in 6 ways, for example, as 147573904 + 1058591296 = 12148^2 + 32536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317 + ... + 49116.

Almost surely, 2^1206165200 is an apocalyptic number.

1206165200 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 1206165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472688294).

1206165200 is an abundant number, since it is smaller than the sum of its proper divisors (1739211388).

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

1206165200 is a wasteful number, since it uses less digits than its factorization.

1206165200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49512 (or 49501 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1206165200 is about 34729.8891446546. The cubic root of 1206165200 is about 1064.4753232697.

The spelling of 1206165200 in words is "one billion, two hundred six million, one hundred sixty-five thousand, two hundred".