1012104720 has 240 divisors, whose sum is σ = 3846128832. Its totient is φ = 245306880.

The previous prime is 1012104689. The next prime is 1012104757. The reversal of 1012104720 is 274012101.

1012104720 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 (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1012104693 and 1012104702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211474 + ... + 216206.

Almost surely, 2^1012104720 is an apocalyptic number.

1012104720 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 1012104720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923064416).

1012104720 is an abundant number, since it is smaller than the sum of its proper divisors (2834024112).

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

1012104720 is a wasteful number, since it uses less digits than its factorization.

1012104720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1012104720 is about 31813.5933210947. The cubic root of 1012104720 is about 1004.0187348028.

Adding to 1012104720 its reverse (274012101), we get a palindrome (1286116821).

The spelling of 1012104720 in words is "one billion, twelve million, one hundred four thousand, seven hundred twenty".