34123000123 has 16 divisors (see below), whose sum is σ = 36611403840. Its totient is φ = 31729636224.

The previous prime is 34123000099. The next prime is 34123000129. The reversal of 34123000123 is 32100032143.

It is a cyclic number.

It is not a de Polignac number, because 34123000123 - 2²¹ = 34120902971 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34123000123.

It is not an unprimeable number, because it can be changed into a prime (34123000129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4465 + ... + 261277.

It is an arithmetic number, because the mean of its divisors is an integer number (2288212740).

Almost surely, 2^34123000123 is an apocalyptic number.

34123000123 is a deficient number, since it is larger than the sum of its proper divisors (2488403717).

34123000123 is a wasteful number, since it uses less digits than its factorization.

34123000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256998.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 34123000123 its reverse (32100032143), we get a palindrome (66223032266).

The spelling of 34123000123 in words is "thirty-four billion, one hundred twenty-three million, one hundred twenty-three", and thus it is an aban number.