122636540 has 48 divisors (see below), whose sum is σ = 279088320. Its totient is φ = 45264960.

The previous prime is 122636533. The next prime is 122636543. The reversal of 122636540 is 45636221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122636543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42545 + ... + 45335.

It is an arithmetic number, because the mean of its divisors is an integer number (5814340).

Almost surely, 2^122636540 is an apocalyptic number.

122636540 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 122636540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139544160).

122636540 is an abundant number, since it is smaller than the sum of its proper divisors (156451780).

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

122636540 is a wasteful number, since it uses less digits than its factorization.

122636540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 122636540 is about 11074.1383411984. The cubic root of 122636540 is about 496.8286475753.

The spelling of 122636540 in words is "one hundred twenty-two million, six hundred thirty-six thousand, five hundred forty".