122084550 has 96 divisors (see below), whose sum is σ = 384499200. Its totient is φ = 27902880.

The previous prime is 122084537. The next prime is 122084551. The reversal of 122084550 is 55480221.

It is a happy number.

122084550 is a `hidden beast` number, since 1 + 2 + 208 + 455 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122084551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2991 + ... + 15909.

It is an arithmetic number, because the mean of its divisors is an integer number (4005200).

Almost surely, 2^122084550 is an apocalyptic number.

122084550 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 122084550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192249600).

122084550 is an abundant number, since it is smaller than the sum of its proper divisors (262414650).

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

122084550 is a wasteful number, since it uses less digits than its factorization.

122084550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 122084550 is about 11049.1877529527. The cubic root of 122084550 is about 496.0821138548.

The spelling of 122084550 in words is "one hundred twenty-two million, eighty-four thousand, five hundred fifty".