1321274000 has 80 divisors (see below), whose sum is σ = 3382859376. Its totient is φ = 497408000.

The previous prime is 1321273997. The next prime is 1321274023. The reversal of 1321274000 is 4721231.

It can be written as a sum of positive squares in 8 ways, for example, as 76877824 + 1244396176 = 8768^2 + 35276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14570 + ... + 53430.

Almost surely, 2^1321274000 is an apocalyptic number.

1321274000 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 1321274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691429688).

1321274000 is an abundant number, since it is smaller than the sum of its proper divisors (2061585376).

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

1321274000 is a wasteful number, since it uses less digits than its factorization.

1321274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38901 (or 38885 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1321274000 is about 36349.3328687061. The cubic root of 1321274000 is about 1097.3141083000.

Adding to 1321274000 its reverse (4721231), we get a palindrome (1325995231).

The spelling of 1321274000 in words is "one billion, three hundred twenty-one million, two hundred seventy-four thousand".