1350312000 has 112 divisors (see below), whose sum is σ = 4458809472. Its totient is φ = 360076800.

The previous prime is 1350311881. The next prime is 1350312001. The reversal of 1350312000 is 2130531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1350312001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4132 + ... + 52131.

Almost surely, 2^1350312000 is an apocalyptic number.

1350312000 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 1350312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229404736).

1350312000 is an abundant number, since it is smaller than the sum of its proper divisors (3108497472).

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

1350312000 is an equidigital number, since it uses as much as digits as its factorization.

1350312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56293 (or 56273 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1350312000 is about 36746.5916786850. The cubic root of 1350312000 is about 1105.2945850952.

Adding to 1350312000 its reverse (2130531), we get a palindrome (1352442531).

The spelling of 1350312000 in words is "one billion, three hundred fifty million, three hundred twelve thousand".