4032142102120 has 64 divisors (see below), whose sum is σ = 10138468213440. Its totient is φ = 1430471692800.

The previous prime is 4032142102111. The next prime is 4032142102147. The reversal of 4032142102120 is 212012412304.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4032142102091 and 4032142102100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111737562 + ... + 111773641.

It is an arithmetic number, because the mean of its divisors is an integer number (158413565835).

Almost surely, 2^{4032142102120} is an apocalyptic number.

4032142102120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032142102120 is an abundant number, since it is smaller than the sum of its proper divisors (6106326111320).

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

4032142102120 is a wasteful number, since it uses less digits than its factorization.

4032142102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223511266 (or 223511262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4032142102120 its reverse (212012412304), we get a palindrome (4244154514424).

The spelling of 4032142102120 in words is "four trillion, thirty-two billion, one hundred forty-two million, one hundred two thousand, one hundred twenty".