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12332219328 = 2633112132349
BaseRepresentation
bin10110111110000111…
…01011101111000000
31011211110020122121000
423133003223233000
5200224022004303
65355414132000
7614414064132
oct133703535700
934743218530
1012332219328
115259241a00
122482051000
131216c33800
1484dbbb052
154c29e5da3
hex2df0ebbc0

12332219328 has 504 divisors, whose sum is σ = 43274742000. Its totient is φ = 3439687680.

The previous prime is 12332219323. The next prime is 12332219329. The reversal of 12332219328 is 82391223321.

It is a happy number.

12332219328 is a `hidden beast` number, since 1 + 2 + 3 + 322 + 1 + 9 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12332219292 and 12332219301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332219321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35335698 + ... + 35336046.

Almost surely, 212332219328 is an apocalyptic number.

12332219328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637371000).

12332219328 is an abundant number, since it is smaller than the sum of its proper divisors (30942522672).

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

12332219328 is a wasteful number, since it uses less digits than its factorization.

12332219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 378 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 12332219328 in words is "twelve billion, three hundred thirty-two million, two hundred nineteen thousand, three hundred twenty-eight".