122165659350 has 192 divisors, whose sum is σ = 390469056000. Its totient is φ = 27506666880.

The previous prime is 122165659313. The next prime is 122165659391. The reversal of 122165659350 is 53956561221.

122165659350 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 6 + 5 + 6 + 593 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122165659296 and 122165659305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 536676 + ... + 729624.

It is an arithmetic number, because the mean of its divisors is an integer number (2033693000).

Almost surely, 2^122165659350 is an apocalyptic number.

122165659350 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 122165659350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195234528000).

122165659350 is an abundant number, since it is smaller than the sum of its proper divisors (268303396650).

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

122165659350 is a wasteful number, since it uses less digits than its factorization.

122165659350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193044 (or 193033 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 122165659350 in words is "one hundred twenty-two billion, one hundred sixty-five million, six hundred fifty-nine thousand, three hundred fifty".