34051120542120 has 128 divisors (see below), whose sum is σ = 111511154442240. Its totient is φ = 8249548688640.

The previous prime is 34051120542091. The next prime is 34051120542157. The reversal of 34051120542120 is 2124502115043.

It is a super-4 number, since 4×34051120542120⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6162672 + ... + 10299551.

It is an arithmetic number, because the mean of its divisors is an integer number (871180894080).

Almost surely, 2^{34051120542120} is an apocalyptic number.

34051120542120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34051120542120 is an abundant number, since it is smaller than the sum of its proper divisors (77460033900120).

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

34051120542120 is a wasteful number, since it uses less digits than its factorization.

34051120542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16463815 (or 16463811 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 34051120542120 its reverse (2124502115043), we get a palindrome (36175622657163).

The spelling of 34051120542120 in words is "thirty-four trillion, fifty-one billion, one hundred twenty million, five hundred forty-two thousand, one hundred twenty".