1301323122000 has 480 divisors, whose sum is σ = 5063809181184. Its totient is φ = 308757888000.

The previous prime is 1301323121977. The next prime is 1301323122007. The reversal of 1301323122000 is 2213231031.

1301323122000 is a `hidden beast` number, since 1 + 301 + 32 + 312 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301323122007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9236082 + ... + 9375918.

Almost surely, 2^{1301323122000} is an apocalyptic number.

1301323122000 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 1301323122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531904590592).

1301323122000 is an abundant number, since it is smaller than the sum of its proper divisors (3762486059184).

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

1301323122000 is a wasteful number, since it uses less digits than its factorization.

1301323122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139924 (or 139905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1301323122000 its reverse (2213231031), we get a palindrome (1303536353031).

The spelling of 1301323122000 in words is "one trillion, three hundred one billion, three hundred twenty-three million, one hundred twenty-two thousand".