1021122312 has 64 divisors (see below), whose sum is σ = 2921287680. Its totient is φ = 291369792.

The previous prime is 1021122281. The next prime is 1021122313. The reversal of 1021122312 is 2132211201.

1021122312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1021122291 and 1021122300.

It is not an unprimeable number, because it can be changed into a prime (1021122313) 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, 141463 + ... + 148505.

It is an arithmetic number, because the mean of its divisors is an integer number (45645120).

Almost surely, 2^1021122312 is an apocalyptic number.

1021122312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021122312 is an abundant number, since it is smaller than the sum of its proper divisors (1900165368).

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

1021122312 is a wasteful number, since it uses less digits than its factorization.

1021122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7918 counting only the distinct ones).

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

The square root of 1021122312 is about 31955.0044906897. The cubic root of 1021122312 is about 1006.9917718623.

Adding to 1021122312 its reverse (2132211201), we get a palindrome (3153333513).

Subtracting 1021122312 from its reverse (2132211201), we obtain a square (1111088889 = 33333²).

It can be divided in two parts, 10211 and 22312, that added together give a palindrome (32523).

The spelling of 1021122312 in words is "one billion, twenty-one million, one hundred twenty-two thousand, three hundred twelve".