10222121312 has 96 divisors (see below), whose sum is σ = 22261073184. Its totient is φ = 4590489600.

The previous prime is 10222121279. The next prime is 10222121419. The reversal of 10222121312 is 21312122201.

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, 10011362 + ... + 10012382.

It is an arithmetic number, because the mean of its divisors is an integer number (231886179).

Almost surely, 2^10222121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130536592).

10222121312 is an abundant number, since it is smaller than the sum of its proper divisors (12038951872).

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

10222121312 is a wasteful number, since it uses less digits than its factorization.

10222121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10222121312 its reverse (21312122201), we get a palindrome (31534243513).

The spelling of 10222121312 in words is "ten billion, two hundred twenty-two million, one hundred twenty-one thousand, three hundred twelve".