1022123112 has 64 divisors (see below), whose sum is σ = 2627976960. Its totient is φ = 331084800.

The previous prime is 1022123101. The next prime is 1022123117. The reversal of 1022123112 is 2113212201.

It is a junction number, because it is equal to n+sod(n) for n = 1022123091 and 1022123100.

It is not an unprimeable number, because it can be changed into a prime (1022123117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264748 + ... + 268580.

It is an arithmetic number, because the mean of its divisors is an integer number (41062140).

Almost surely, 2^1022123112 is an apocalyptic number.

1022123112 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 1022123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313988480).

1022123112 is an abundant number, since it is smaller than the sum of its proper divisors (1605853848).

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

1022123112 is a wasteful number, since it uses less digits than its factorization.

1022123112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4150 counting only the distinct ones).

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

The square root of 1022123112 is about 31970.6601746038. The cubic root of 1022123112 is about 1007.3206480037.

Adding to 1022123112 its reverse (2113212201), we get a palindrome (3135335313).

It can be divided in two parts, 10221 and 23112, that added together give a palindrome (33333).

The spelling of 1022123112 in words is "one billion, twenty-two million, one hundred twenty-three thousand, one hundred twelve".