1000123872 has 96 divisors (see below), whose sum is σ = 3032515584. Its totient is φ = 285235200.

The previous prime is 1000123847. The next prime is 1000123879. The reversal of 1000123872 is 2783210001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000123879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9904 + ... + 45807.

It is an arithmetic number, because the mean of its divisors is an integer number (31588704).

Almost surely, 2^1000123872 is an apocalyptic number.

1000123872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000123872 is an abundant number, since it is smaller than the sum of its proper divisors (2032391712).

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

1000123872 is a wasteful number, since it uses less digits than its factorization.

1000123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55752 (or 55744 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1000123872 is about 31624.7351293256. The cubic root of 1000123872 is about 1000.0412889619.

Adding to 1000123872 its reverse (2783210001), we get a palindrome (3783333873).

The spelling of 1000123872 in words is "one billion, one hundred twenty-three thousand, eight hundred seventy-two".