1051312128 has 120 divisors (see below), whose sum is σ = 2851515408. Its totient is φ = 344457216.

The previous prime is 1051312103. The next prime is 1051312151. The reversal of 1051312128 is 8212131501.

It is a super-2 number, since 2×1051312128² = 2210514380959776768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1051312098 and 1051312107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3587950 + ... + 3588242.

Almost surely, 2^1051312128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425757704).

1051312128 is an abundant number, since it is smaller than the sum of its proper divisors (1800203280).

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

1051312128 is an frugal number, since it uses more digits than its factorization.

1051312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1051312128 is about 32423.9437453250. The cubic root of 1051312128 is about 1016.8195590299.

Adding to 1051312128 its reverse (8212131501), we get a palindrome (9263443629).

The spelling of 1051312128 in words is "one billion, fifty-one million, three hundred twelve thousand, one hundred twenty-eight".