1012126752 has 360 divisors, whose sum is σ = 3735056556. Its totient is φ = 266499072.

The previous prime is 1012126747. The next prime is 1012126771. The reversal of 1012126752 is 2576212101.

It can be written as a sum of positive squares in 2 ways, for example, as 727057296 + 285069456 = 26964^2 + 16884^2 .

It is a super-2 number, since 2×1012126752² = 2048801124228139008, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1650798 + ... + 1651410.

Almost surely, 2^1012126752 is an apocalyptic number.

1012126752 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 1012126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867528278).

1012126752 is an abundant number, since it is smaller than the sum of its proper divisors (2722929804).

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

1012126752 is a wasteful number, since it uses less digits than its factorization.

1012126752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1012126752 is about 31813.9395862883. The cubic root of 1012126752 is about 1004.0260200766.

Adding to 1012126752 its reverse (2576212101), we get a palindrome (3588338853).

The spelling of 1012126752 in words is "one billion, twelve million, one hundred twenty-six thousand, seven hundred fifty-two".