1206925200 has 720 divisors, whose sum is σ = 5024584656. Its totient is φ = 265420800.

The previous prime is 1206925171. The next prime is 1206925229. The reversal of 1206925200 is 25296021.

It is an interprime number because it is at equal distance from previous prime (1206925171) and next prime (1206925229).

It can be written as a sum of positive squares in 24 ways, for example, as 886371984 + 320553216 = 29772^2 + 17904^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29437180 + ... + 29437220.

Almost surely, 2^1206925200 is an apocalyptic number.

1206925200 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 1206925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512292328).

1206925200 is an abundant number, since it is smaller than the sum of its proper divisors (3817659456).

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

1206925200 is a wasteful number, since it uses less digits than its factorization.

1206925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1206925200 is about 34740.8290056527. The cubic root of 1206925200 is about 1064.6988502484.

The spelling of 1206925200 in words is "one billion, two hundred six million, nine hundred twenty-five thousand, two hundred".