1300224100120 has 96 divisors (see below), whose sum is σ = 3216274457760. Its totient is φ = 472715020800.

The previous prime is 1300224100069. The next prime is 1300224100141. The reversal of 1300224100120 is 210014220031.

It is a junction number, because it is equal to n+sod(n) for n = 1300224100094 and 1300224100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27278629 + ... + 27326251.

It is an arithmetic number, because the mean of its divisors is an integer number (33502858935).

Almost surely, 2^{1300224100120} is an apocalyptic number.

1300224100120 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 1300224100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608137228880).

1300224100120 is an abundant number, since it is smaller than the sum of its proper divisors (1916050357640).

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

1300224100120 is a wasteful number, since it uses less digits than its factorization.

1300224100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53297 (or 53282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1300224100120 its reverse (210014220031), we get a palindrome (1510238320151).

The spelling of 1300224100120 in words is "one trillion, three hundred billion, two hundred twenty-four million, one hundred thousand, one hundred twenty".