4122443445120 has 4032 divisors, whose sum is σ = 20513740620240. Its totient is φ = 782566686720.

The previous prime is 4122443445091. The next prime is 4122443445149. The reversal of 4122443445120 is 215443442214.

4122443445120 is a `hidden beast` number, since 4 + 1 + 2 + 244 + 344 + 51 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4122443445091) and next prime (4122443445149).

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 42499416912 + ... + 42499417008.

Almost surely, 2^{4122443445120} is an apocalyptic number.

4122443445120 is a gapful number since it is divisible by the number (40) 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 4122443445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10256870310120).

4122443445120 is an abundant number, since it is smaller than the sum of its proper divisors (16391297175120).

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

4122443445120 is a wasteful number, since it uses less digits than its factorization.

4122443445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4122443445120 its reverse (215443442214), we get a palindrome (4337886887334).

The spelling of 4122443445120 in words is "four trillion, one hundred twenty-two billion, four hundred forty-three million, four hundred forty-five thousand, one hundred twenty".