1020120012 has 72 divisors (see below), whose sum is σ = 2703966720. Its totient is φ = 323658720.

The previous prime is 1020119999. The next prime is 1020120041. The reversal of 1020120012 is 2100210201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020119976 and 1020120003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171789 + ... + 177627.

Almost surely, 2^1020120012 is an apocalyptic number.

1020120012 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 1020120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351983360).

1020120012 is an abundant number, since it is smaller than the sum of its proper divisors (1683846708).

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

1020120012 is a wasteful number, since it uses less digits than its factorization.

1020120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020120012 is about 31939.3176508203. The cubic root of 1020120012 is about 1006.6621873598.

Adding to 1020120012 its reverse (2100210201), we get a palindrome (3120330213).

The spelling of 1020120012 in words is "one billion, twenty million, one hundred twenty thousand, twelve".