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12001233301232 = 2478310867118801
BaseRepresentation
bin1010111010100100000100…
…1111110110111011110000
31120111022021120202022000212
42232221001033312323300
53033112011211114412
641305142424003252
72346026514625640
oct256510117667360
946438246668025
1012001233301232
11390777036631a
121419b04900528
13690933073826
142d6c116da520
1515c2a6338222
hexaea413f6ef0

12001233301232 has 80 divisors (see below), whose sum is σ = 26897031313152. Its totient is φ = 5080906828800.

The previous prime is 12001233301229. The next prime is 12001233301249. The reversal of 12001233301232 is 23210333210021.

It is a junction number, because it is equal to n+sod(n) for n = 12001233301198 and 12001233301207.

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, 100960232 + ... + 101079032.

Almost surely, 212001233301232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001233301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448515656576).

12001233301232 is an abundant number, since it is smaller than the sum of its proper divisors (14895798011920).

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

12001233301232 is a wasteful number, since it uses less digits than its factorization.

12001233301232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129766 (or 129760 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12001233301232 its reverse (23210333210021), we get a palindrome (35211566511253).

The spelling of 12001233301232 in words is "twelve trillion, one billion, two hundred thirty-three million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 9296 10867 21734 43468 76069 86936 118801 152138 173872 237602 304276 475204 608552 831607 901961 950408 1217104 1663214 1803922 1900816 3326428 3607844 6313727 6652856 7215688 9860483 12627454 13305712 14431376 19720966 25254908 39441932 50509816 69023381 78883864 101019632 138046762 157767728 276093524 552187048 1104374096 1291010467 2582020934 5164041868 9037073269 10328083736 18074146538 20656167472 36148293076 72296586152 107153868761 144593172304 214307737522 428615475044 750077081327 857230950088 1500154162654 1714461900176 3000308325308 6000616650616 12001233301232