122221416330 has 48 divisors (see below), whose sum is σ = 342219969000. Its totient is φ = 30085271424.

The previous prime is 122221416301. The next prime is 122221416347. The reversal of 122221416330 is 33614122221.

122221416330 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 21 + 4 + 1 + 633 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112277936241 + 9943480089 = 335079^2 + 99717^2 .

It is a super-2 number, since 2×122221416330² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122221416294 and 122221416303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52230205 + ... + 52232544.

Almost surely, 2^122221416330 is an apocalyptic number.

122221416330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122221416330 is an abundant number, since it is smaller than the sum of its proper divisors (219998552670).

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

122221416330 is a wasteful number, since it uses less digits than its factorization.

122221416330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104462775 (or 104462772 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122221416330 its reverse (33614122221), we get a palindrome (155835538551).

The spelling of 122221416330 in words is "one hundred twenty-two billion, two hundred twenty-one million, four hundred sixteen thousand, three hundred thirty".