1205312000 has 160 divisors (see below), whose sum is σ = 3092815440. Its totient is φ = 468172800.

The previous prime is 1205311997. The next prime is 1205312021. The reversal of 1205312000 is 2135021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 358269184 + 847042816 = 18928^2 + 29104^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367746 + ... + 2368254.

Almost surely, 2^1205312000 is an apocalyptic number.

1205312000 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 1205312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546407720).

1205312000 is an abundant number, since it is smaller than the sum of its proper divisors (1887503440).

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

1205312000 is an frugal number, since it uses more digits than its factorization.

1205312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1205312000 is about 34717.6036039356. The cubic root of 1205312000 is about 1064.2242729228.

Adding to 1205312000 its reverse (2135021), we get a palindrome (1207447021).

The spelling of 1205312000 in words is "one billion, two hundred five million, three hundred twelve thousand".