42297102120 has 512 divisors, whose sum is σ = 165008793600. Its totient is φ = 8429211648.

The previous prime is 42297102083. The next prime is 42297102163. The reversal of 42297102120 is 2120179224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20845266 + ... + 20847294.

It is an arithmetic number, because the mean of its divisors is an integer number (322282800).

Almost surely, 2^42297102120 is an apocalyptic number.

42297102120 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 42297102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82504396800).

42297102120 is an abundant number, since it is smaller than the sum of its proper divisors (122711691480).

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

42297102120 is a wasteful number, since it uses less digits than its factorization.

42297102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 42297102120 in words is "forty-two billion, two hundred ninety-seven million, one hundred two thousand, one hundred twenty".