1303121200212 has 168 divisors, whose sum is σ = 3690387930600. Its totient is φ = 400062136320.

The previous prime is 1303121200193. The next prime is 1303121200231. The reversal of 1303121200212 is 2120021213031.

1303121200212 is a `hidden beast` number, since 130 + 3 + 121 + 200 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (1303121200193) and next prime (1303121200231).

It can be written as a sum of positive squares in 4 ways, for example, as 84119721156 + 1219001479056 = 290034^2 + 1104084^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16982412 + ... + 17058972.

It is an arithmetic number, because the mean of its divisors is an integer number (21966594825).

Almost surely, 2^{1303121200212} is an apocalyptic number.

1303121200212 is a gapful number since it is divisible by the number (12) 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 1303121200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845193965300).

1303121200212 is an abundant number, since it is smaller than the sum of its proper divisors (2387266730388).

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

1303121200212 is a wasteful number, since it uses less digits than its factorization.

1303121200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77045 (or 77028 counting only the distinct ones).

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

Adding to 1303121200212 its reverse (2120021213031), we get a palindrome (3423142413243).

The spelling of 1303121200212 in words is "one trillion, three hundred three billion, one hundred twenty-one million, two hundred thousand, two hundred twelve".