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12330023122032 = 2437113336045217
BaseRepresentation
bin1011001101101100111010…
…1001011111010001110000
31121122201221111210202101020
42303123032221133101300
53104003341404401112
642120200122535440
72411546316165030
oct263331651372160
947581844722336
1012330023122032
113a24151678050
121471783967580
136b594061aa55
14308ac22678c0
15165aeb27448c
hexb36cea5f470

12330023122032 has 80 divisors (see below), whose sum is σ = 39712282275072. Its totient is φ = 3202603407360.

The previous prime is 12330023122019. The next prime is 12330023122033. The reversal of 12330023122032 is 23022132003321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12330023121993 and 12330023122011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330023122033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668018913 + ... + 1668026304.

Almost surely, 212330023122032 is an apocalyptic number.

12330023122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12330023122032 is an abundant number, since it is smaller than the sum of its proper divisors (27382259153040).

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

12330023122032 is a wasteful number, since it uses less digits than its factorization.

12330023122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336045246 (or 3336045240 counting only the distinct ones).

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

Adding to 12330023122032 its reverse (23022132003321), we get a palindrome (35352155125353).

The spelling of 12330023122032 in words is "twelve trillion, three hundred thirty billion, twenty-three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 3336045217 6672090434 10008135651 13344180868 20016271302 23352316519 26688361736 36696497387 40032542604 46704633038 53376723472 70056949557 73392994774 80065085208 93409266076 110089492161 140113899114 146785989548 160130170416 186818532152 220178984322 256875481709 280227798228 293571979096 373637064304 440357968644 513750963418 560455596456 587143958192 770626445127 880715937288 1027501926836 1120911192912 1541252890254 1761431874576 2055003853672 3082505780508 4110007707344 6165011561016 12330023122032