1012120506 has 48 divisors (see below), whose sum is σ = 2259123048. Its totient is φ = 327283200.

The previous prime is 1012120471. The next prime is 1012120507. The reversal of 1012120506 is 6050212101.

It can be written as a sum of positive squares in 4 ways, for example, as 41486481 + 970634025 = 6441^2 + 31155^2 .

It is a super-3 number, since 3×1012120506³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1012120507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129790 + ... + 137366.

Almost surely, 2^1012120506 is an apocalyptic number.

1012120506 is an abundant number, since it is smaller than the sum of its proper divisors (1247002542).

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

1012120506 is a wasteful number, since it uses less digits than its factorization.

1012120506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807 (or 7804 counting only the distinct ones).

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

The square root of 1012120506 is about 31813.8414216202. The cubic root of 1012120506 is about 1004.0239547360.

Adding to 1012120506 its reverse (6050212101), we get a palindrome (7062332607).

The spelling of 1012120506 in words is "one billion, twelve million, one hundred twenty thousand, five hundred six".