34121213145 has 192 divisors, whose sum is σ = 67537981440. Its totient is φ = 16488230400.

The previous prime is 34121213143. The next prime is 34121213183. The reversal of 34121213145 is 54131212143.

34121213145 is a `hidden beast` number, since 341 + 2 + 1 + 2 + 1 + 314 + 5 = 666.

It is not a de Polignac number, because 34121213145 - 2¹ = 34121213143 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121213143) 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 191 ways as a sum of consecutive naturals, for example, 178645000 + ... + 178645190.

It is an arithmetic number, because the mean of its divisors is an integer number (351760320).

Almost surely, 2^34121213145 is an apocalyptic number.

It is an amenable number.

34121213145 is a deficient number, since it is larger than the sum of its proper divisors (33416768295).

34121213145 is an equidigital number, since it uses as much as digits as its factorization.

34121213145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 247 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 34121213145 its reverse (54131212143), we get a palindrome (88252425288).

The spelling of 34121213145 in words is "thirty-four billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred forty-five".