2024012141120 has 112 divisors (see below), whose sum is σ = 4856245482816. Its totient is φ = 803480832000.

The previous prime is 2024012141009. The next prime is 2024012141131. The reversal of 2024012141120 is 211412104202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2024012141092 and 2024012141101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28403135 + ... + 28474305.

It is an arithmetic number, because the mean of its divisors is an integer number (43359334668).

Almost surely, 2^{2024012141120} is an apocalyptic number.

2024012141120 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 2024012141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428122741408).

2024012141120 is an abundant number, since it is smaller than the sum of its proper divisors (2832233341696).

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

2024012141120 is a wasteful number, since it uses less digits than its factorization.

2024012141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71860 (or 71850 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2024012141120 its reverse (211412104202), we get a palindrome (2235424245322).

The spelling of 2024012141120 in words is "two trillion, twenty-four billion, twelve million, one hundred forty-one thousand, one hundred twenty".