122541090 has 64 divisors (see below), whose sum is σ = 338155776. Its totient is φ = 27839232.

The previous prime is 122541071. The next prime is 122541091. The reversal of 122541090 is 90145221.

It is a self number, because there is not a number n which added to its sum of digits gives 122541090.

It is not an unprimeable number, because it can be changed into a prime (122541091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34644 + ... + 38016.

It is an arithmetic number, because the mean of its divisors is an integer number (5283684).

Almost surely, 2^122541090 is an apocalyptic number.

122541090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122541090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169077888).

122541090 is an abundant number, since it is smaller than the sum of its proper divisors (215614686).

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

122541090 is a wasteful number, since it uses less digits than its factorization.

122541090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 122541090 is about 11069.8279119415. The cubic root of 122541090 is about 496.6997175329.

The spelling of 122541090 in words is "one hundred twenty-two million, five hundred forty-one thousand, ninety".