120162042000 has 2880 divisors, whose sum is σ = 618500413440. Its totient is φ = 21835008000.

The previous prime is 120162041959. The next prime is 120162042113. The reversal of 120162042000 is 240261021.

120162042000 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 620 + 42 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6324317991 + ... + 6324318009.

It is an arithmetic number, because the mean of its divisors is an integer number (214757088).

Almost surely, 2^120162042000 is an apocalyptic number.

120162042000 is a gapful number since it is divisible by the number (10) 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 120162042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309250206720).

120162042000 is an abundant number, since it is smaller than the sum of its proper divisors (498338371440).

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

120162042000 is a wasteful number, since it uses less digits than its factorization.

120162042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 120162042000 in words is "one hundred twenty billion, one hundred sixty-two million, forty-two thousand".