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12332223213300 = 22345217162155249
BaseRepresentation
bin1011001101110101000111…
…0010001010111011110100
31121122221121211122222020000
42303131101302022323310
53104022343120311200
642121202314311300
72411654662514214
oct263352162127364
947587554588200
1012332223213300
113a2508055a1a1
121472098728530
136b5c01381ac3
14308c5052a244
15165bc94ad300
hexb3751c8aef4

12332223213300 has 360 divisors, whose sum is σ = 42354615303000. Its totient is φ = 3093180825600.

The previous prime is 12332223213281. The next prime is 12332223213313. The reversal of 12332223213300 is 331232223321.

12332223213300 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 2 + 2 + 2 + 321 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 260920726416 + 12071302486884 = 510804^2 + 3474378^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 223184076 + ... + 223239324.

It is an arithmetic number, because the mean of its divisors is an integer number (117651709175).

Almost surely, 212332223213300 is an apocalyptic number.

12332223213300 is a gapful number since it is divisible by the number (10) 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 12332223213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177307651500).

12332223213300 is an abundant number, since it is smaller than the sum of its proper divisors (30022392089700).

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

12332223213300 is a wasteful number, since it uses less digits than its factorization.

12332223213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56913 (or 56897 counting only the distinct ones).

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

Adding to 12332223213300 its reverse (331232223321), we get a palindrome (12663455436621).

The spelling of 12332223213300 in words is "twelve trillion, three hundred thirty-two billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred".