1011252312 has 96 divisors (see below), whose sum is σ = 3144211200. Its totient is φ = 287623872.

The previous prime is 1011252311. The next prime is 1011252313. The reversal of 1011252312 is 2132521101.

1011252312 is a `hidden beast` number, since 101 + 1 + 252 + 312 = 666.

1011252312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011252311) and next prime (1011252313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011252311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109989 + ... + 118827.

It is an arithmetic number, because the mean of its divisors is an integer number (32752200).

Almost surely, 2^1011252312 is an apocalyptic number.

1011252312 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 1011252312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572105600).

1011252312 is an abundant number, since it is smaller than the sum of its proper divisors (2132958888).

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

1011252312 is a wasteful number, since it uses less digits than its factorization.

1011252312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1011252312 is about 31800.1935843164. The cubic root of 1011252312 is about 1003.7367896766.

Adding to 1011252312 its reverse (2132521101), we get a palindrome (3143773413).

The spelling of 1011252312 in words is "one billion, eleven million, two hundred fifty-two thousand, three hundred twelve".