1210321301120 has 128 divisors (see below), whose sum is σ = 2995786328400. Its totient is φ = 467030179840.

The previous prime is 1210321301117. The next prime is 1210321301131. The reversal of 1210321301120 is 211031230121.

It can be written as a sum of positive squares in 8 ways, for example, as 920110682176 + 290210618944 = 959224^2 + 538712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21891752 + ... + 21946968.

Almost surely, 2^{1210321301120} is an apocalyptic number.

1210321301120 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 1210321301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497893164200).

1210321301120 is an abundant number, since it is smaller than the sum of its proper divisors (1785465027280).

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

1210321301120 is a wasteful number, since it uses less digits than its factorization.

1210321301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56446 (or 56434 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1210321301120 its reverse (211031230121), we get a palindrome (1421352531241).

The spelling of 1210321301120 in words is "one trillion, two hundred ten billion, three hundred twenty-one million, three hundred one thousand, one hundred twenty".