122466540 has 96 divisors (see below), whose sum is σ = 395910144. Its totient is φ = 27705600.

The previous prime is 122466503. The next prime is 122466557. The reversal of 122466540 is 45664221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122466498 and 122466507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40977 + ... + 43863.

It is an arithmetic number, because the mean of its divisors is an integer number (4124064).

Almost surely, 2^122466540 is an apocalyptic number.

122466540 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 122466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197955072).

122466540 is an abundant number, since it is smaller than the sum of its proper divisors (273443604).

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

122466540 is a wasteful number, since it uses less digits than its factorization.

122466540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 122466540 is about 11066.4601386351. The cubic root of 122466540 is about 496.5989718006.

The spelling of 122466540 in words is "one hundred twenty-two million, four hundred sixty-six thousand, five hundred forty".