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12123243202032 = 2432233361326991
BaseRepresentation
bin1011000001101010100110…
…0110101100010111110000
31120220222012122220110002200
42300122221212230113300
53042111400224431112
641441201355343200
72360606160650304
oct260325146542760
946828178813080
1012123243202032
11395449080a686
121439695751b00
1369c2a87908c1
142dcaa7957d04
151605479a9cdc
hexb06a99ac5f0

12123243202032 has 60 divisors (see below), whose sum is σ = 34073857999584. Its totient is φ = 4023737360640.

The previous prime is 12123243201997. The next prime is 12123243202039. The reversal of 12123243202032 is 23020234232121.

12123243202032 is a `hidden beast` number, since 1 + 2 + 1 + 23 + 2 + 432 + 0 + 203 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12123243201987 and 12123243202005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123243202039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180629944 + ... + 180697047.

Almost surely, 212123243202032 is an apocalyptic number.

12123243202032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123243202032 is an abundant number, since it is smaller than the sum of its proper divisors (21950614797552).

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

12123243202032 is a wasteful number, since it uses less digits than its factorization.

12123243202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361327238 (or 361327229 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12123243202032 its reverse (23020234232121), we get a palindrome (35143477434153).

The spelling of 12123243202032 in words is "twelve trillion, one hundred twenty-three billion, two hundred forty-three million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 932 1398 1864 2097 2796 3728 4194 5592 8388 11184 16776 33552 361326991 722653982 1083980973 1445307964 2167961946 2890615928 3251942919 4335923892 5781231856 6503885838 8671847784 13007771676 17343695568 26015543352 52031086704 84189188903 168378377806 252567566709 336756755612 505135133418 673513511224 757702700127 1010270266836 1347027022448 1515405400254 2020540533672 3030810800508 4041081067344 6061621601016 12123243202032