120106440 has 192 divisors, whose sum is σ = 409743360. Its totient is φ = 30481920.

The previous prime is 120106423. The next prime is 120106451. The reversal of 120106440 is 44601021.

120106440 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 644 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945657 + ... + 945783.

It is an arithmetic number, because the mean of its divisors is an integer number (2134080).

Almost surely, 2^120106440 is an apocalyptic number.

120106440 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 120106440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).

120106440 is an abundant number, since it is smaller than the sum of its proper divisors (289636920).

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

120106440 is a wasteful number, since it uses less digits than its factorization.

120106440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

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

The square root of 120106440 is about 10959.3083723381. The cubic root of 120106440 is about 493.3882071093.

Adding to 120106440 its reverse (44601021), we get a palindrome (164707461).

The spelling of 120106440 in words is "one hundred twenty million, one hundred six thousand, four hundred forty".