1206264300 has 72 divisors (see below), whose sum is σ = 3505306896. Its totient is φ = 320271360.

The previous prime is 1206264289. The next prime is 1206264317. The reversal of 1206264300 is 34626021.

1206264300 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1206264300² = 2910147122908980000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61272 + ... + 78528.

It is an arithmetic number, because the mean of its divisors is an integer number (48684818).

Almost surely, 2^1206264300 is an apocalyptic number.

1206264300 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 1206264300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752653448).

1206264300 is an abundant number, since it is smaller than the sum of its proper divisors (2299042596).

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

1206264300 is a wasteful number, since it uses less digits than its factorization.

1206264300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507 (or 17500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1206264300 is about 34731.3158403191. The cubic root of 1206264300 is about 1064.5044753338.

The spelling of 1206264300 in words is "one billion, two hundred six million, two hundred sixty-four thousand, three hundred".