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12000032213232 = 2437282891262483
BaseRepresentation
bin1010111010011111100110…
…1010000100100011110000
31120111012011212200201001010
42232213321222010203300
53033102031221310412
641304423320310520
72345654661556440
oct256477152044360
946435155621033
1012000032213232
113907204387108
12141982a612440
136907a128b07b
142d6b39da6120
1515c235b8533c
hexae9f9a848f0

12000032213232 has 80 divisors (see below), whose sum is σ = 35429946981120. Its totient is φ = 3428456718336.

The previous prime is 12000032213203. The next prime is 12000032213293. The reversal of 12000032213232 is 23231223000021.

It is a happy number.

12000032213232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12000032213199 and 12000032213208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8873863 + ... + 10136345.

It is an arithmetic number, because the mean of its divisors is an integer number (442874337264).

Almost surely, 212000032213232 is an apocalyptic number.

12000032213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000032213232 is an abundant number, since it is smaller than the sum of its proper divisors (23429914767888).

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

12000032213232 is a wasteful number, since it uses less digits than its factorization.

12000032213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290790 (or 1290784 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12000032213232 its reverse (23231223000021), we get a palindrome (35231255213253).

The spelling of 12000032213232 in words is "twelve trillion, thirty-two million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 28289 56578 84867 113156 169734 198023 226312 339468 396046 452624 594069 678936 792092 1188138 1262483 1357872 1584184 2376276 2524966 3168368 3787449 4752552 5049932 7574898 8837381 9505104 10099864 15149796 17674762 20199728 26512143 30299592 35349524 53024286 60599184 70699048 106048572 141398096 212097144 424194288 35714381587 71428763174 107143144761 142857526348 214286289522 250000671109 285715052696 428572579044 500001342218 571430105392 750002013327 857145158088 1000002684436 1500004026654 1714290316176 2000005368872 3000008053308 4000010737744 6000016106616 12000032213232