1010012120 has 64 divisors (see below), whose sum is σ = 2471696640. Its totient is φ = 369216000.

The previous prime is 1010012117. The next prime is 1010012131. The reversal of 1010012120 is 212100101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1010012098 and 1010012107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42905 + ... + 62135.

It is an arithmetic number, because the mean of its divisors is an integer number (38620260).

Almost surely, 2^1010012120 is an apocalyptic number.

1010012120 is a gapful number since it is divisible by the number (10) 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 1010012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235848320).

1010012120 is an abundant number, since it is smaller than the sum of its proper divisors (1461684520).

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

1010012120 is a wasteful number, since it uses less digits than its factorization.

1010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19356 (or 19352 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1010012120 is about 31780.6878465523. The cubic root of 1010012120 is about 1003.3262968152.

Adding to 1010012120 its reverse (212100101), we get a palindrome (1222112221).

The spelling of 1010012120 in words is "one billion, ten million, twelve thousand, one hundred twenty".