1020123312 has 80 divisors (see below), whose sum is σ = 2851150848. Its totient is φ = 312433920.

The previous prime is 1020123289. The next prime is 1020123317. The reversal of 1020123312 is 2133210201.

It is a junction number, because it is equal to n+sod(n) for n = 1020123291 and 1020123300.

It is not an unprimeable number, because it can be changed into a prime (1020123317) 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, 135487 + ... + 142817.

Almost surely, 2^1020123312 is an apocalyptic number.

1020123312 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 1020123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425575424).

1020123312 is an abundant number, since it is smaller than the sum of its proper divisors (1831027536).

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

1020123312 is a wasteful number, since it uses less digits than its factorization.

1020123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7572 counting only the distinct ones).

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

The square root of 1020123312 is about 31939.3693112435. The cubic root of 1020123312 is about 1006.6632728470.

Adding to 1020123312 its reverse (2133210201), we get a palindrome (3153333513).

The spelling of 1020123312 in words is "one billion, twenty million, one hundred twenty-three thousand, three hundred twelve".