1206733200 has 120 divisors (see below), whose sum is σ = 3909348000. Its totient is φ = 318151680.

The previous prime is 1206733163. The next prime is 1206733201. The reversal of 1206733200 is 23376021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1206733201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101151 + ... + 112449.

It is an arithmetic number, because the mean of its divisors is an integer number (32577900).

Almost surely, 2^1206733200 is an apocalyptic number.

1206733200 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 1206733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954674000).

1206733200 is an abundant number, since it is smaller than the sum of its proper divisors (2702614800).

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

1206733200 is a wasteful number, since it uses less digits than its factorization.

1206733200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 1206733200 is about 34738.0655765401. The cubic root of 1206733200 is about 1064.6423891354.

The spelling of 1206733200 in words is "one billion, two hundred six million, seven hundred thirty-three thousand, two hundred".