120110330145240 has 320 divisors, whose sum is σ = 407452057689600. Its totient is φ = 31732131843072.

The previous prime is 120110330145217. The next prime is 120110330145263. The reversal of 120110330145240 is 42541033011021.

120110330145240 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 103 + 30 + 1 + 4 + 524 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120110330145217) and next prime (120110330145263).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6486480462 + ... + 6486498978.

It is an arithmetic number, because the mean of its divisors is an integer number (1273287680280).

Almost surely, 2^{120110330145240} is an apocalyptic number.

120110330145240 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 120110330145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203726028844800).

120110330145240 is an abundant number, since it is smaller than the sum of its proper divisors (287341727544360).

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

120110330145240 is a wasteful number, since it uses less digits than its factorization.

120110330145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37016 (or 37003 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 120110330145240 its reverse (42541033011021), we get a palindrome (162651363156261).

The spelling of 120110330145240 in words is "one hundred twenty trillion, one hundred ten billion, three hundred thirty million, one hundred forty-five thousand, two hundred forty".