122132321310330 has 576 divisors, whose sum is σ = 356683043808000. Its totient is φ = 30046378152960.

The previous prime is 122132321310281. The next prime is 122132321310353. The reversal of 122132321310330 is 33013123231221.

122132321310330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 2 + 321 + 3 + 1 + 0 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122132321310294 and 122132321310303.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21543888736 + ... + 21543894404.

It is an arithmetic number, because the mean of its divisors is an integer number (619241395500).

Almost surely, 2^{122132321310330} is an apocalyptic number.

122132321310330 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 122132321310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178341521904000).

122132321310330 is an abundant number, since it is smaller than the sum of its proper divisors (234550722497670).

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

122132321310330 is a wasteful number, since it uses less digits than its factorization.

122132321310330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122132321310330 its reverse (33013123231221), we get a palindrome (155145444541551).

The spelling of 122132321310330 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, three hundred twenty-one million, three hundred ten thousand, three hundred thirty".