302144414122000 has 40 divisors (see below), whose sum is σ = 730585193351832. Its totient is φ = 120857765648000.

The previous prime is 302144414121983. The next prime is 302144414122007. The reversal of 302144414122000 is 221414441203.

It can be written as a sum of positive squares in 4 ways, for example, as 16210383068944 + 285934031053056 = 4026212^2 + 16909584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 302144414122000.

It is not an unprimeable number, because it can be changed into a prime (302144414122007) 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 7 ways as a sum of consecutive naturals, for example, 75536101531 + ... + 75536105530.

Almost surely, 2^{302144414122000} is an apocalyptic number.

It is an amenable number.

302144414122000 is an abundant number, since it is smaller than the sum of its proper divisors (428440779229832).

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

302144414122000 is a wasteful number, since it uses less digits than its factorization.

302144414122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151072207084 (or 151072207068 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 302144414122000 its reverse (221414441203), we get a palindrome (302365828563203).

The spelling of 302144414122000 in words is "three hundred two trillion, one hundred forty-four billion, four hundred fourteen million, one hundred twenty-two thousand".