1020112512 has 128 divisors (see below), whose sum is σ = 2776456320. Its totient is φ = 331776000.

The previous prime is 1020112507. The next prime is 1020112529. The reversal of 1020112512 is 2152110201.

1020112512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1020112491 and 1020112500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4232712 + ... + 4232952.

It is an arithmetic number, because the mean of its divisors is an integer number (21691065).

Almost surely, 2^1020112512 is an apocalyptic number.

1020112512 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 1020112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388228160).

1020112512 is an abundant number, since it is smaller than the sum of its proper divisors (1756343808).

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

1020112512 is a wasteful number, since it uses less digits than its factorization.

1020112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

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

The square root of 1020112512 is about 31939.2002404569. The cubic root of 1020112512 is about 1006.6597203347.

Adding to 1020112512 its reverse (2152110201), we get a palindrome (3172222713).

The spelling of 1020112512 in words is "one billion, twenty million, one hundred twelve thousand, five hundred twelve".