4122567000 has 96 divisors (see below), whose sum is σ = 13934306880. Its totient is φ = 1099348800.

The previous prime is 4122566957. The next prime is 4122567019. The reversal of 4122567000 is 7652214.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220032 + ... + 238031.

It is an arithmetic number, because the mean of its divisors is an integer number (145149030).

Almost surely, 2^4122567000 is an apocalyptic number.

4122567000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122567000 is an abundant number, since it is smaller than the sum of its proper divisors (9811739880).

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

4122567000 is a wasteful number, since it uses less digits than its factorization.

4122567000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458090 (or 458073 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4122567000 is about 64207.2192202715. The cubic root of 4122567000 is about 1603.4517926412.

The spelling of 4122567000 in words is "four billion, one hundred twenty-two million, five hundred sixty-seven thousand".