1206391200 has 144 divisors (see below), whose sum is σ = 4487837760. Its totient is φ = 275742720.

The previous prime is 1206391189. The next prime is 1206391201. The reversal of 1206391200 is 21936021.

1206391200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 (1206391201) 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, 19105 + ... + 52704.

It is an arithmetic number, because the mean of its divisors is an integer number (31165540).

Almost surely, 2^1206391200 is an apocalyptic number.

1206391200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1206391200 is an abundant number, since it is smaller than the sum of its proper divisors (3281446560).

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

1206391200 is a wasteful number, since it uses less digits than its factorization.

1206391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71839 (or 71826 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1206391200 is about 34733.1426738209. The cubic root of 1206391200 is about 1064.5418029413.

The spelling of 1206391200 in words is "one billion, two hundred six million, three hundred ninety-one thousand, two hundred".