42120143120 has 80 divisors (see below), whose sum is σ = 107889969600. Its totient is φ = 15164736000.

The previous prime is 42120143119. The next prime is 42120143137. The reversal of 42120143120 is 2134102124.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 42120143092 and 42120143101.

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, 148070 + ... + 325829.

It is an arithmetic number, because the mean of its divisors is an integer number (1348624620).

Almost surely, 2^42120143120 is an apocalyptic number.

42120143120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120143120 is an abundant number, since it is smaller than the sum of its proper divisors (65769826480).

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

42120143120 is a wasteful number, since it uses less digits than its factorization.

42120143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474024 (or 474018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42120143120 its reverse (2134102124), we get a palindrome (44254245244).

The spelling of 42120143120 in words is "forty-two billion, one hundred twenty million, one hundred forty-three thousand, one hundred twenty".