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12332001001320 = 2332571113193748679
BaseRepresentation
bin1011001101110100010010…
…0010011111111101101000
31121122221001100112102200200
42303131010202133331220
53104021414224020240
642121124255432200
72411646323655660
oct263350442377550
947587040472620
1012332001001320
113a24a77086030
121472036225660
136b5b9731b620
14308c2cc051a0
15165bb4c17930
hexb374489ff68

12332001001320 has 1536 divisors, whose sum is σ = 58176728064000. Its totient is φ = 2180275937280.

The previous prime is 12332001001249. The next prime is 12332001001361. The reversal of 12332001001320 is 2310010023321.

12332001001320 is a `hidden beast` number, since 1 + 2 + 332 + 0 + 0 + 10 + 0 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12332001001293 and 12332001001302.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 253308741 + ... + 253357419.

It is an arithmetic number, because the mean of its divisors is an integer number (37875474000).

Almost surely, 212332001001320 is an apocalyptic number.

12332001001320 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 12332001001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29088364032000).

12332001001320 is an abundant number, since it is smaller than the sum of its proper divisors (45844727062680).

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

12332001001320 is a wasteful number, since it uses less digits than its factorization.

12332001001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48783 (or 48776 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12332001001320 its reverse (2310010023321), we get a palindrome (14642011024641).

The spelling of 12332001001320 in words is "twelve trillion, three hundred thirty-two billion, one million, one thousand, three hundred twenty".