122130540 has 216 divisors, whose sum is σ = 439940592. Its totient is φ = 27336960.

The previous prime is 122130527. The next prime is 122130551. The reversal of 122130540 is 45031221.

122130540 is a `hidden beast` number, since 122 + 1 + 3 + 0 + 540 = 666.

It is a super-3 number, since 3×122130540³ (a number of 25 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 537907 + ... + 538133.

It is an arithmetic number, because the mean of its divisors is an integer number (2036762).

Almost surely, 2^122130540 is an apocalyptic number.

122130540 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 122130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219970296).

122130540 is an abundant number, since it is smaller than the sum of its proper divisors (317810052).

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

122130540 is a wasteful number, since it uses less digits than its factorization.

122130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122130540 is about 11051.2687054474. The cubic root of 122130540 is about 496.1443984278.

Adding to 122130540 its reverse (45031221), we get a palindrome (167161761).

The spelling of 122130540 in words is "one hundred twenty-two million, one hundred thirty thousand, five hundred forty".