120127540 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 42316800.

The previous prime is 120127537. The next prime is 120127543. The reversal of 120127540 is 45721021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120127537) and next prime (120127543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120127543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628845 + ... + 629035.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^120127540 is an apocalyptic number.

120127540 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 120127540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

120127540 is an abundant number, since it is smaller than the sum of its proper divisors (164370380).

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

120127540 is a wasteful number, since it uses less digits than its factorization.

120127540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 120127540 is about 10960.2709820515. The cubic root of 120127540 is about 493.4170978211.

Adding to 120127540 its reverse (45721021), we get a palindrome (165848561).

The spelling of 120127540 in words is "one hundred twenty million, one hundred twenty-seven thousand, five hundred forty".