4122232595712 has 2592 divisors, whose sum is σ = 16873318635264. Its totient is φ = 938527948800.

The previous prime is 4122232595699. The next prime is 4122232595743. The reversal of 4122232595712 is 2175952322214.

4122232595712 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 23 + 2 + 59 + 571 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77777973478 + ... + 77777973530.

It is an arithmetic number, because the mean of its divisors is an integer number (6509767992).

Almost surely, 2^{4122232595712} is an apocalyptic number.

4122232595712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122232595712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436659317632).

4122232595712 is an abundant number, since it is smaller than the sum of its proper divisors (12751086039552).

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

4122232595712 is a wasteful number, since it uses less digits than its factorization.

4122232595712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 4122232595712 in words is "four trillion, one hundred twenty-two billion, two hundred thirty-two million, five hundred ninety-five thousand, seven hundred twelve".