10312127280 has 640 divisors, whose sum is σ = 45637079040. Its totient is φ = 2080235520.

The previous prime is 10312127269. The next prime is 10312127297. The reversal of 10312127280 is 8272121301.

10312127280 is a `hidden beast` number, since 1 + 0 + 312 + 1 + 272 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4519740 + ... + 4522020.

It is an arithmetic number, because the mean of its divisors is an integer number (71307936).

Almost surely, 2^10312127280 is an apocalyptic number.

10312127280 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 10312127280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22818539520).

10312127280 is an abundant number, since it is smaller than the sum of its proper divisors (35324951760).

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

10312127280 is a wasteful number, since it uses less digits than its factorization.

10312127280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10312127280 its reverse (8272121301), we get a palindrome (18584248581).

The spelling of 10312127280 in words is "ten billion, three hundred twelve million, one hundred twenty-seven thousand, two hundred eighty".