2422014113120 has 384 divisors, whose sum is σ = 7063165992960. Its totient is φ = 766573885440.

The previous prime is 2422014113087. The next prime is 2422014113147. The reversal of 2422014113120 is 213114102242.

2422014113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2422014113120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 305844521 + ... + 305852439.

It is an arithmetic number, because the mean of its divisors is an integer number (18393661440).

Almost surely, 2^{2422014113120} is an apocalyptic number.

2422014113120 is a gapful number since it is divisible by the number (20) 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 2422014113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531582996480).

2422014113120 is an abundant number, since it is smaller than the sum of its proper divisors (4641151879840).

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

2422014113120 is a wasteful number, since it uses less digits than its factorization.

2422014113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2422014113120 its reverse (213114102242), we get a palindrome (2635128215362).

The spelling of 2422014113120 in words is "two trillion, four hundred twenty-two billion, fourteen million, one hundred thirteen thousand, one hundred twenty".