1012965912 has 160 divisors (see below), whose sum is σ = 3259449600. Its totient is φ = 289103904.

The previous prime is 1012965907. The next prime is 1012965917. The reversal of 1012965912 is 2195692101.

It is an interprime number because it is at equal distance from previous prime (1012965907) and next prime (1012965917).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012965917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1101789 + ... + 1102707.

It is an arithmetic number, because the mean of its divisors is an integer number (20371560).

Almost surely, 2^1012965912 is an apocalyptic number.

1012965912 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 1012965912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629724800).

1012965912 is an abundant number, since it is smaller than the sum of its proper divisors (2246483688).

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

1012965912 is an frugal number, since it uses more digits than its factorization.

1012965912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1012965912 is about 31827.1254121386. The cubic root of 1012965912 is about 1004.3034246374.

The spelling of 1012965912 in words is "one billion, twelve million, nine hundred sixty-five thousand, nine hundred twelve".