1301121022200 has 192 divisors, whose sum is σ = 4305565497600. Its totient is φ = 324074419200.

The previous prime is 1301121022193. The next prime is 1301121022207. The reversal of 1301121022200 is 22201211031.

It is an interprime number because it is at equal distance from previous prime (1301121022193) and next prime (1301121022207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301121022200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301121022207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5644 + ... + 1613156.

It is an arithmetic number, because the mean of its divisors is an integer number (22424820300).

Almost surely, 2^{1301121022200} is an apocalyptic number.

1301121022200 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 1301121022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152782748800).

1301121022200 is an abundant number, since it is smaller than the sum of its proper divisors (3004444475400).

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

1301121022200 is a wasteful number, since it uses less digits than its factorization.

1301121022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607622 (or 1607613 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1301121022200 its reverse (22201211031), we get a palindrome (1323322233231).

The spelling of 1301121022200 in words is "one trillion, three hundred one billion, one hundred twenty-one million, twenty-two thousand, two hundred".