1012905216 has 72 divisors (see below), whose sum is σ = 2995359360. Its totient is φ = 337632768.

The previous prime is 1012905199. The next prime is 1012905221. The reversal of 1012905216 is 6125092101.

1012905216 is a `hidden beast` number, since 10 + 129 + 0 + 521 + 6 = 666.

1012905216 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1012905216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66360 + ... + 80183.

Almost surely, 2^1012905216 is an apocalyptic number.

1012905216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1012905216 is an abundant number, since it is smaller than the sum of its proper divisors (1982454144).

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

1012905216 is an equidigital number, since it uses as much as digits as its factorization.

1012905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146568 (or 146548 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1012905216 is about 31826.1718715902. The cubic root of 1012905216 is about 1004.2833652528.

Adding to 1012905216 its reverse (6125092101), we get a palindrome (7137997317).

The spelling of 1012905216 in words is "one billion, twelve million, nine hundred five thousand, two hundred sixteen".