10312404161220 has 360 divisors, whose sum is σ = 37643019271704. Its totient is φ = 2356436468736.

The previous prime is 10312404161183. The next prime is 10312404161221. The reversal of 10312404161220 is 2216140421301.

10312404161220 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 4 + 0 + 41 + 612 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 934698372804 + 9377705788416 = 966798^2 + 3062304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10312404161221) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 304246594 + ... + 304280486.

Almost surely, 2^{10312404161220} is an apocalyptic number.

10312404161220 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 10312404161220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821509635852).

10312404161220 is an abundant number, since it is smaller than the sum of its proper divisors (27330615110484).

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

10312404161220 is a wasteful number, since it uses less digits than its factorization.

10312404161220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37761 (or 37743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10312404161220 its reverse (2216140421301), we get a palindrome (12528544582521).

The spelling of 10312404161220 in words is "ten trillion, three hundred twelve billion, four hundred four million, one hundred sixty-one thousand, two hundred twenty".