10312001220000 has 240 divisors, whose sum is σ = 34091793533952. Its totient is φ = 2728212480000.

The previous prime is 10312001219963. The next prime is 10312001220007. The reversal of 10312001220000 is 2210021301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10312001220000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10312001220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6943360 + ... + 8296640.

Almost surely, 2^{10312001220000} is an apocalyptic number.

10312001220000 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 10312001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17045896766976).

10312001220000 is an abundant number, since it is smaller than the sum of its proper divisors (23779792313952).

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

10312001220000 is a wasteful number, since it uses less digits than its factorization.

10312001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353441 (or 1353418 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10312001220000 its reverse (2210021301), we get a palindrome (10314211241301).

The spelling of 10312001220000 in words is "ten trillion, three hundred twelve billion, one million, two hundred twenty thousand".