10224121312 has 48 divisors (see below), whose sum is σ = 21639018240. Its totient is φ = 4739948928.

The previous prime is 10224121307. The next prime is 10224121337. The reversal of 10224121312 is 21312142201.

10224121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 10224121312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150318 + ... + 207469.

It is an arithmetic number, because the mean of its divisors is an integer number (450812880).

Almost surely, 2^10224121312 is an apocalyptic number.

It is an amenable number.

10224121312 is an abundant number, since it is smaller than the sum of its proper divisors (11414896928).

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

10224121312 is a wasteful number, since it uses less digits than its factorization.

10224121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357863 (or 357855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10224121312 its reverse (21312142201), we get a palindrome (31536263513).

The spelling of 10224121312 in words is "ten billion, two hundred twenty-four million, one hundred twenty-one thousand, three hundred twelve".