34411312110120 has 128 divisors (see below), whose sum is σ = 112629853002240. Its totient is φ = 8341320464640.

The previous prime is 34411312110107. The next prime is 34411312110127. The reversal of 34411312110120 is 2101121311443.

It is a super-3 number, since 3×34411312110120³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34411312110127) by changing a digit.

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, 12282879 + ... + 14822001.

It is an arithmetic number, because the mean of its divisors is an integer number (879920726580).

Almost surely, 2^{34411312110120} is an apocalyptic number.

34411312110120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34411312110120 is an abundant number, since it is smaller than the sum of its proper divisors (78218540892120).

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

34411312110120 is a wasteful number, since it uses less digits than its factorization.

34411312110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549415 (or 2549411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 34411312110120 its reverse (2101121311443), we get a palindrome (36512433421563).

The spelling of 34411312110120 in words is "thirty-four trillion, four hundred eleven billion, three hundred twelve million, one hundred ten thousand, one hundred twenty".