122226090 has 192 divisors, whose sum is σ = 371723904. Its totient is φ = 25546752.

The previous prime is 122226067. The next prime is 122226101. The reversal of 122226090 is 90622221.

It is a self number, because there is not a number n which added to its sum of digits gives 122226090.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1674294 + ... + 1674366.

It is an arithmetic number, because the mean of its divisors is an integer number (1936062).

Almost surely, 2^122226090 is an apocalyptic number.

122226090 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 122226090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185861952).

122226090 is an abundant number, since it is smaller than the sum of its proper divisors (249497814).

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

122226090 is a wasteful number, since it uses less digits than its factorization.

122226090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 122226090 is about 11055.5908932992. The cubic root of 122226090 is about 496.2737524770.

The spelling of 122226090 in words is "one hundred twenty-two million, two hundred twenty-six thousand, ninety".