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12213330112332 = 22333723313117549
BaseRepresentation
bin1011000110111010001100…
…1100111110111101001100
31121020120201222022122202000
42301232203030332331030
53100100400002043312
641550420522432300
72400245464030536
oct261564314767514
947216658278660
1012213330112332
11398970a4a1768
121453037662690
136a79345c269b
143031b21da856
15162a6b7a2adc
hexb1ba333ef4c

12213330112332 has 96 divisors (see below), whose sum is σ = 32659551288000. Its totient is φ = 3944079392256.

The previous prime is 12213330112331. The next prime is 12213330112339. The reversal of 12213330112332 is 23321103331221.

12213330112332 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 3 + 301 + 12 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12213330112296 and 12213330112305.

It is not an unprimeable number, because it can be changed into a prime (12213330112331) 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, 5627707 + ... + 7489842.

It is an arithmetic number, because the mean of its divisors is an integer number (340203659250).

Almost surely, 212213330112332 is an apocalyptic number.

12213330112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213330112332 is an abundant number, since it is smaller than the sum of its proper divisors (20446221175668).

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

12213330112332 is a wasteful number, since it uses less digits than its factorization.

12213330112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13117832 (or 13117824 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12213330112332 its reverse (23321103331221), we get a palindrome (35534433443553).

The spelling of 12213330112332 in words is "twelve trillion, two hundred thirteen billion, three hundred thirty million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 233 333 444 466 666 699 932 999 1332 1398 1998 2097 2796 3996 4194 6291 8388 8621 12582 17242 25164 25863 34484 51726 77589 103452 155178 232767 310356 465534 931068 13117549 26235098 39352647 52470196 78705294 118057941 157410588 236115882 354173823 472231764 485349313 708347646 970698626 1416695292 1456047939 1941397252 2912095878 3056388917 4368143817 5824191756 6112777834 8736287634 9169166751 12225555668 13104431451 17472575268 18338333502 26208862902 27507500253 36676667004 52417725804 55015000506 82522500759 110030001012 113086389929 165045001518 226172779858 330090003036 339259169787 452345559716 678518339574 1017777509361 1357036679148 2035555018722 3053332528083 4071110037444 6106665056166 12213330112332