10012221312 has 128 divisors (see below), whose sum is σ = 27388746240. Its totient is φ = 3238299648.

The previous prime is 10012221283. The next prime is 10012221347. The reversal of 10012221312 is 21312221001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10012221291 and 10012221300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6918573 + ... + 6920019.

It is an arithmetic number, because the mean of its divisors is an integer number (213974580).

Almost surely, 2^10012221312 is an apocalyptic number.

10012221312 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 10012221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694373120).

10012221312 is an abundant number, since it is smaller than the sum of its proper divisors (17376524928).

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

10012221312 is a wasteful number, since it uses less digits than its factorization.

10012221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10012221312 its reverse (21312221001), we get a palindrome (31324442313).

The spelling of 10012221312 in words is "ten billion, twelve million, two hundred twenty-one thousand, three hundred twelve".