1350212000 has 96 divisors (see below), whose sum is σ = 3398797584. Its totient is φ = 526848000.

The previous prime is 1350211979. The next prime is 1350212011. The reversal of 1350212000 is 2120531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93934864 + 1256277136 = 9692^2 + 35444^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159884 + ... + 168116.

Almost surely, 2^1350212000 is an apocalyptic number.

1350212000 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 1350212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699398792).

1350212000 is an abundant number, since it is smaller than the sum of its proper divisors (2048585584).

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

1350212000 is an equidigital number, since it uses as much as digits as its factorization.

1350212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8281 counting only the distinct ones).

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

The square root of 1350212000 is about 36745.2309830813. The cubic root of 1350212000 is about 1105.2672995031.

Adding to 1350212000 its reverse (2120531), we get a palindrome (1352332531).

The spelling of 1350212000 in words is "one billion, three hundred fifty million, two hundred twelve thousand".