4114120322312 has 128 divisors (see below), whose sum is σ = 10358743449600. Its totient is φ = 1479386937600.

The previous prime is 4114120322303. The next prime is 4114120322359. The reversal of 4114120322312 is 2132230214114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60754889 + ... + 60822567.

It is an arithmetic number, because the mean of its divisors is an integer number (80927683200).

Almost surely, 2^{4114120322312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114120322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179371724800).

4114120322312 is an abundant number, since it is smaller than the sum of its proper divisors (6244623127288).

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

4114120322312 is a wasteful number, since it uses less digits than its factorization.

4114120322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75307 (or 75303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4114120322312 its reverse (2132230214114), we get a palindrome (6246350536426).

The spelling of 4114120322312 in words is "four trillion, one hundred fourteen billion, one hundred twenty million, three hundred twenty-two thousand, three hundred twelve".