1213312000 has 88 divisors (see below), whose sum is σ = 3027267360. Its totient is φ = 485273600.

The previous prime is 1213311989. The next prime is 1213312019. The reversal of 1213312000 is 2133121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123261 + ... + 132739.

Almost surely, 2^1213312000 is an apocalyptic number.

1213312000 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 1213312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513633680).

1213312000 is an abundant number, since it is smaller than the sum of its proper divisors (1813955360).

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

1213312000 is an frugal number, since it uses more digits than its factorization.

1213312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1213312000 is about 34832.6283820214. The cubic root of 1213312000 is about 1066.5736029918.

Adding to 1213312000 its reverse (2133121), we get a palindrome (1215445121).

The spelling of 1213312000 in words is "one billion, two hundred thirteen million, three hundred twelve thousand".