122123203302330 has 320 divisors, whose sum is σ = 332294046150528. Its totient is φ = 32179536506880.

The previous prime is 122123203302313. The next prime is 122123203302383. The reversal of 122123203302330 is 33203302321221.

122123203302330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 3 + 20 + 3 + 302 + 330 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122123203302294 and 122123203302303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57147029022 + ... + 57147031158.

Almost surely, 2^{122123203302330} is an apocalyptic number.

122123203302330 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 122123203302330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166147023075264).

122123203302330 is an abundant number, since it is smaller than the sum of its proper divisors (210170842848198).

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

122123203302330 is a wasteful number, since it uses less digits than its factorization.

122123203302330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 122123203302330 its reverse (33203302321221), we get a palindrome (155326505623551).

The spelling of 122123203302330 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred three million, three hundred two thousand, three hundred thirty".