1301223021120 has 672 divisors, whose sum is σ = 5054566772736. Its totient is φ = 304470835200.

The previous prime is 1301223021089. The next prime is 1301223021167. The reversal of 1301223021120 is 211203221031.

1301223021120 is a `hidden beast` number, since 1 + 301 + 223 + 0 + 21 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1301223021093 and 1301223021102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148859950 + ... + 148868690.

Almost surely, 2^{1301223021120} is an apocalyptic number.

1301223021120 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 1301223021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527283386368).

1301223021120 is an abundant number, since it is smaller than the sum of its proper divisors (3753343751616).

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

1301223021120 is a wasteful number, since it uses less digits than its factorization.

1301223021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1301223021120 its reverse (211203221031), we get a palindrome (1512426242151).

The spelling of 1301223021120 in words is "one trillion, three hundred one billion, two hundred twenty-three million, twenty-one thousand, one hundred twenty".