1301233221120 has 1280 divisors, whose sum is σ = 5115992555520. Its totient is φ = 275768672256.

The previous prime is 1301233221103. The next prime is 1301233221151. The reversal of 1301233221120 is 211223321031.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9361390011 + ... + 9361390149.

It is an arithmetic number, because the mean of its divisors is an integer number (3996869184).

Almost surely, 2^{1301233221120} is an apocalyptic number.

1301233221120 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 1301233221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557996277760).

1301233221120 is an abundant number, since it is smaller than the sum of its proper divisors (3814759334400).

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

1301233221120 is a wasteful number, since it uses less digits than its factorization.

1301233221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1301233221120 its reverse (211223321031), we get a palindrome (1512456542151).

The spelling of 1301233221120 in words is "one trillion, three hundred one billion, two hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".