120168048 has 320 divisors, whose sum is σ = 433972224. Its totient is φ = 27648000.

The previous prime is 120168017. The next prime is 120168079. The reversal of 120168048 is 840861021.

It is an interprime number because it is at equal distance from previous prime (120168017) and next prime (120168079).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1969938 + ... + 1969998.

Almost surely, 2^120168048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120168048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

120168048 is an abundant number, since it is smaller than the sum of its proper divisors (313804176).

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

120168048 is a wasteful number, since it uses less digits than its factorization.

120168048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120168048 is about 10962.1187733029. The cubic root of 120168048 is about 493.4725530303.

The spelling of 120168048 in words is "one hundred twenty million, one hundred sixty-eight thousand, forty-eight".