42099120 has 120 divisors (see below), whose sum is σ = 161599776. Its totient is φ = 9621504.

The previous prime is 42099091. The next prime is 42099143. The reversal of 42099120 is 2199024.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864 + ... + 9216.

Almost surely, 2^42099120 is an apocalyptic number.

42099120 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 42099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80799888).

42099120 is an abundant number, since it is smaller than the sum of its proper divisors (119500656).

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

42099120 is a wasteful number, since it uses less digits than its factorization.

42099120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42099120 is about 6488.3834658565. The cubic root of 42099120 is about 347.8758970877.

The spelling of 42099120 in words is "forty-two million, ninety-nine thousand, one hundred twenty".