34123141224 has 24 divisors (see below), whose sum is σ = 92416841010. Its totient is φ = 11374380384.

The previous prime is 34123141223. The next prime is 34123141249. The reversal of 34123141224 is 42214132143.

34123141224 is a `hidden beast` number, since 341 + 2 + 314 + 1 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27752228100 + 6370913124 = 166590^2 + 79818^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34123141223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236966187 + ... + 236966330.

Almost surely, 2^34123141224 is an apocalyptic number.

It is an amenable number.

34123141224 is an abundant number, since it is smaller than the sum of its proper divisors (58293699786).

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

34123141224 is a wasteful number, since it uses less digits than its factorization.

34123141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473932529 (or 473932522 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 34123141224 its reverse (42214132143), we get a palindrome (76337273367).

The spelling of 34123141224 in words is "thirty-four billion, one hundred twenty-three million, one hundred forty-one thousand, two hundred twenty-four".