4122120445632 has 448 divisors, whose sum is σ = 14093724416000. Its totient is φ = 1171592626176.

The previous prime is 4122120445613. The next prime is 4122120445687. The reversal of 4122120445632 is 2365440212214.

4122120445632 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 12 + 0 + 4 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189085869 + ... + 189107667.

Almost surely, 2^{4122120445632} is an apocalyptic number.

4122120445632 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 4122120445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046862208000).

4122120445632 is an abundant number, since it is smaller than the sum of its proper divisors (9971603970368).

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

4122120445632 is an equidigital number, since it uses as much as digits as its factorization.

4122120445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22032 (or 22004 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4122120445632 its reverse (2365440212214), we get a palindrome (6487560657846).

The spelling of 4122120445632 in words is "four trillion, one hundred twenty-two billion, one hundred twenty million, four hundred forty-five thousand, six hundred thirty-two".