4123024113120 has 384 divisors, whose sum is σ = 14665888097280. Its totient is φ = 964454400000.

The previous prime is 4123024113073. The next prime is 4123024113151. The reversal of 4123024113120 is 213114203214.

It is a super-2 number, since 2×4123024113120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 275761645 + ... + 275776595.

It is an arithmetic number, because the mean of its divisors is an integer number (38192416920).

Almost surely, 2^{4123024113120} is an apocalyptic number.

4123024113120 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 4123024113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332944048640).

4123024113120 is an abundant number, since it is smaller than the sum of its proper divisors (10542863984160).

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

4123024113120 is a wasteful number, since it uses less digits than its factorization.

4123024113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 16802 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4123024113120 its reverse (213114203214), we get a palindrome (4336138316334).

The spelling of 4123024113120 in words is "four trillion, one hundred twenty-three billion, twenty-four million, one hundred thirteen thousand, one hundred twenty".