330102112123332 has 480 divisors, whose sum is σ = 902428596115200. Its totient is φ = 105126632690688.

The previous prime is 330102112123321. The next prime is 330102112123367. The reversal of 330102112123332 is 233321211201033.

330102112123332 is a `hidden beast` number, since 3 + 3 + 0 + 102 + 11 + 212 + 3 + 332 = 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 = 330102112123296 and 330102112123305.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136236941473 + ... + 136236943895.

It is an arithmetic number, because the mean of its divisors is an integer number (1880059575240).

Almost surely, 2^{330102112123332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330102112123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451214298057600).

330102112123332 is an abundant number, since it is smaller than the sum of its proper divisors (572326483991868).

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

330102112123332 is a wasteful number, since it uses less digits than its factorization.

330102112123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3326 counting only the distinct ones).

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

Adding to 330102112123332 its reverse (233321211201033), we get a palindrome (563423323324365).

The spelling of 330102112123332 in words is "three hundred thirty trillion, one hundred two billion, one hundred twelve million, one hundred twenty-three thousand, three hundred thirty-two".