120162240 has 168 divisors, whose sum is σ = 451000368. Its totient is φ = 29122560.

The previous prime is 120162227. The next prime is 120162247. The reversal of 120162240 is 42261021.

120162240 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 622 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120162247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29784 + ... + 33576.

It is an arithmetic number, because the mean of its divisors is an integer number (2684526).

Almost surely, 2^120162240 is an apocalyptic number.

120162240 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 120162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225500184).

120162240 is an abundant number, since it is smaller than the sum of its proper divisors (330838128).

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

120162240 is a wasteful number, since it uses less digits than its factorization.

120162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3814 counting only the distinct ones).

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

The square root of 120162240 is about 10961.8538578107. The cubic root of 120162240 is about 493.4646026785.

The spelling of 120162240 in words is "one hundred twenty million, one hundred sixty-two thousand, two hundred forty".