10312134224 has 160 divisors (see below), whose sum is σ = 23831808000. Its totient is φ = 4232259072.

The previous prime is 10312134199. The next prime is 10312134277. The reversal of 10312134224 is 42243121301.

It is a super-2 number, since 2×10312134224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10312134224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74187947 + ... + 74188085.

It is an arithmetic number, because the mean of its divisors is an integer number (148948800).

Almost surely, 2^10312134224 is an apocalyptic number.

10312134224 is a gapful number since it is divisible by the number (14) 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 10312134224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915904000).

10312134224 is an abundant number, since it is smaller than the sum of its proper divisors (13519673776).

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

10312134224 is a wasteful number, since it uses less digits than its factorization.

10312134224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10312134224 its reverse (42243121301), we get a palindrome (52555255525).

The spelling of 10312134224 in words is "ten billion, three hundred twelve million, one hundred thirty-four thousand, two hundred twenty-four".