1302221322000 has 120 divisors (see below), whose sum is σ = 4548225066840. Its totient is φ = 347259014400.

The previous prime is 1302221321987. The next prime is 1302221322001. The reversal of 1302221322000 is 2231222031.

It can be written as a sum of positive squares in 4 ways, for example, as 279760597776 + 1022460724224 = 528924^2 + 1011168^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1302221322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36154815 + ... + 36190814.

It is an arithmetic number, because the mean of its divisors is an integer number (37901875557).

Almost surely, 2^{1302221322000} is an apocalyptic number.

1302221322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302221322000 is an abundant number, since it is smaller than the sum of its proper divisors (3246003744840).

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

1302221322000 is a wasteful number, since it uses less digits than its factorization.

1302221322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72345658 (or 72345639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1302221322000 its reverse (2231222031), we get a palindrome (1304452544031).

The spelling of 1302221322000 in words is "one trillion, three hundred two billion, two hundred twenty-one million, three hundred twenty-two thousand".