1002123312 has 80 divisors (see below), whose sum is σ = 2663162880. Its totient is φ = 324518400.

The previous prime is 1002123277. The next prime is 1002123349. The reversal of 1002123312 is 2133212001.

1002123312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002123312² = 2008502264907698688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002123291 and 1002123300.

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, 532389 + ... + 534267.

It is an arithmetic number, because the mean of its divisors is an integer number (33289536).

Almost surely, 2^1002123312 is an apocalyptic number.

1002123312 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 1002123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331581440).

1002123312 is an abundant number, since it is smaller than the sum of its proper divisors (1661039568).

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

1002123312 is a wasteful number, since it uses less digits than its factorization.

1002123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1002123312 is about 31656.3313098660. The cubic root of 1002123312 is about 1000.7072703174.

Adding to 1002123312 its reverse (2133212001), we get a palindrome (3135335313).

It can be divided in two parts, 10021 and 23312, that added together give a palindrome (33333).

The spelling of 1002123312 in words is "one billion, two million, one hundred twenty-three thousand, three hundred twelve".