1002125112 has 64 divisors (see below), whose sum is σ = 2686348800. Its totient is φ = 310402560.

The previous prime is 1002125107. The next prime is 1002125147. The reversal of 1002125112 is 2115212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002125091 and 1002125100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16687 + ... + 47777.

It is an arithmetic number, because the mean of its divisors is an integer number (41974200).

Almost surely, 2^1002125112 is an apocalyptic number.

1002125112 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 1002125112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343174400).

1002125112 is an abundant number, since it is smaller than the sum of its proper divisors (1684223688).

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

1002125112 is a wasteful number, since it uses less digits than its factorization.

1002125112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31196 (or 31192 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1002125112 is about 31656.3597401849. The cubic root of 1002125112 is about 1000.7078694692.

Adding to 1002125112 its reverse (2115212001), we get a palindrome (3117337113).

It can be divided in two parts, 100 and 2125112, that added together give a palindrome (2125212).

The spelling of 1002125112 in words is "one billion, two million, one hundred twenty-five thousand, one hundred twelve".