34124220052000 has 192 divisors, whose sum is σ = 93205357959168. Its totient is φ = 12193269120000.

The previous prime is 34124220051941. The next prime is 34124220052049. The reversal of 34124220052000 is 25002242143.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 8972436 + ... + 12196435.

It is an arithmetic number, because the mean of its divisors is an integer number (485444572704).

Almost surely, 2^{34124220052000} is an apocalyptic number.

It is an amenable number.

34124220052000 is an abundant number, since it is smaller than the sum of its proper divisors (59081137907168).

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

34124220052000 is a wasteful number, since it uses less digits than its factorization.

34124220052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21168940 (or 21168922 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 34124220052000 its reverse (25002242143), we get a palindrome (34149222294143).

The spelling of 34124220052000 in words is "thirty-four trillion, one hundred twenty-four billion, two hundred twenty million, fifty-two thousand".