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12330033102240 = 2535721117391719
BaseRepresentation
bin1011001101101100111100…
…1111100011110110100000
31121122201222012120210122120
42303123033033203312200
53104003401433232430
642120201120504240
72411546500052610
oct263331717436640
947581865523576
1012330033102240
113a24157274357
12147178717b080
136b59427035b9
14308ac3704a40
15165aec096610
hexb36cf3e3da0

12330033102240 has 192 divisors, whose sum is σ = 44598491965440. Its totient is φ = 2804936279040.

The previous prime is 12330033102223. The next prime is 12330033102241. The reversal of 12330033102240 is 4220133003321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12330033102240.

It is not an unprimeable number, because it can be changed into a prime (12330033102241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7986900 + ... + 9404819.

It is an arithmetic number, because the mean of its divisors is an integer number (232283812320).

Almost surely, 212330033102240 is an apocalyptic number.

12330033102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330033102240 is an abundant number, since it is smaller than the sum of its proper divisors (32268458863200).

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

12330033102240 is a wasteful number, since it uses less digits than its factorization.

12330033102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17391955 (or 17391947 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12330033102240 its reverse (4220133003321), we get a palindrome (16550166105561).

The spelling of 12330033102240 in words is "twelve trillion, three hundred thirty billion, thirty-three million, one hundred two thousand, two hundred forty".