10224213012 has 120 divisors (see below), whose sum is σ = 29064811776. Its totient is φ = 3115236672.

The previous prime is 10224213011. The next prime is 10224213029. The reversal of 10224213012 is 21031242201.

It is a happy number.

It is a super-2 number, since 2×10224213012² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224213011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 422053 + ... + 445619.

Almost surely, 2^10224213012 is an apocalyptic number.

10224213012 is a gapful number since it is divisible by the number (12) 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 10224213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532405888).

10224213012 is an abundant number, since it is smaller than the sum of its proper divisors (18840598764).

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

10224213012 is a wasteful number, since it uses less digits than its factorization.

10224213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23699 (or 23688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10224213012 its reverse (21031242201), we get a palindrome (31255455213).

The spelling of 10224213012 in words is "ten billion, two hundred twenty-four million, two hundred thirteen thousand, twelve".