1024013114120 has 32 divisors (see below), whose sum is σ = 2304321609600. Its totient is φ = 409553316288.

The previous prime is 1024013114099. The next prime is 1024013114147. The reversal of 1024013114120 is 214113104201.

1024013114120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1024013114092 and 1024013114101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302560 + ... + 1935119.

It is an arithmetic number, because the mean of its divisors is an integer number (72010050300).

Almost surely, 2^{1024013114120} is an apocalyptic number.

1024013114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024013114120 is an abundant number, since it is smaller than the sum of its proper divisors (1280308495480).

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

1024013114120 is a wasteful number, since it uses less digits than its factorization.

1024013114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245597 (or 3245593 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1024013114120 its reverse (214113104201), we get a palindrome (1238126218321).

The spelling of 1024013114120 in words is "one trillion, twenty-four billion, thirteen million, one hundred fourteen thousand, one hundred twenty".