34012643121 has 32 divisors (see below), whose sum is σ = 53425509120. Its totient is φ = 21312329472.

The previous prime is 34012643117. The next prime is 34012643191. The reversal of 34012643121 is 12134621043.

It is a happy number.

34012643121 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 2 + 643 + 12 + 1 = 666.

It is not a de Polignac number, because 34012643121 - 2² = 34012643117 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34012643111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291171 + ... + 390903.

It is an arithmetic number, because the mean of its divisors is an integer number (1669547160).

Almost surely, 2^34012643121 is an apocalyptic number.

It is an amenable number.

34012643121 is a deficient number, since it is larger than the sum of its proper divisors (19412865999).

34012643121 is a wasteful number, since it uses less digits than its factorization.

34012643121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100502 (or 100496 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34012643121 in words is "thirty-four billion, twelve million, six hundred forty-three thousand, one hundred twenty-one".