414122223310120 has 64 divisors (see below), whose sum is σ = 1003460492200320. Its totient is φ = 152905068658944.

The previous prime is 414122223310109. The next prime is 414122223310123. The reversal of 414122223310120 is 21013322221414.

It is not an unprimeable number, because it can be changed into a prime (414122223310123) 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 15 ways as a sum of consecutive naturals, for example, 46215109 + ... + 54443371.

It is an arithmetic number, because the mean of its divisors is an integer number (15679070190630).

Almost surely, 2^{414122223310120} is an apocalyptic number.

414122223310120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414122223310120 is an abundant number, since it is smaller than the sum of its proper divisors (589338268890200).

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

414122223310120 is a wasteful number, since it uses less digits than its factorization.

414122223310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325074 (or 8325070 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 414122223310120 its reverse (21013322221414), we get a palindrome (435135545531534).

The spelling of 414122223310120 in words is "four hundred fourteen trillion, one hundred twenty-two billion, two hundred twenty-three million, three hundred ten thousand, one hundred twenty".