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12120211210002 = 23719372393171539
BaseRepresentation
bin1011000001011111010011…
…1000100011111100010010
31120220200101100200021221120
42300113310320203330102
53042034143032210002
641435540445303110
72360441063311350
oct260276470437422
946820340607846
1012120211210002
113953175289145
121438b8a264a96
1369bc1458778c
142dc89adc47d0
1516041b6e6cbc
hexb05f4e23f12

12120211210002 has 128 divisors (see below), whose sum is σ = 29962246809600. Its totient is φ = 3190639735296.

The previous prime is 12120211209973. The next prime is 12120211210069. The reversal of 12120211210002 is 20001211202121.

12120211210002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70569949 + ... + 70741487.

It is an arithmetic number, because the mean of its divisors is an integer number (234080053200).

Almost surely, 212120211210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120211210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981123404800).

12120211210002 is an abundant number, since it is smaller than the sum of its proper divisors (17842035599598).

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

12120211210002 is a wasteful number, since it uses less digits than its factorization.

12120211210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174000.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120211210002 its reverse (20001211202121), we get a palindrome (32121422412123).

The spelling of 12120211210002 in words is "twelve trillion, one hundred twenty billion, two hundred eleven million, two hundred ten thousand, two".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 222 259 266 399 518 703 777 798 1406 1554 2109 2393 4218 4786 4921 7179 9842 14358 14763 16751 29526 33502 45467 50253 88541 90934 100506 136401 171539 177082 265623 272802 318269 343078 514617 531246 619787 636538 954807 1029234 1200773 1239574 1682279 1859361 1909614 2401546 3259241 3364558 3602319 3718722 5046837 6346943 6518482 7204638 9777723 10093674 11775953 12693886 19040829 19555446 22814687 23551906 35327859 38081658 44428601 45629374 68444061 70655718 88857202 120591917 133285803 136888122 241183834 266571606 361775751 410492827 723551502 820985654 844143419 1231478481 1688286838 2462956962 2532430257 2873449789 5064860514 5746899578 7799363713 8620349367 15188234599 15598727426 17240698734 23398091139 30376469198 45564703797 46796182278 54595545991 91129407594 106317642193 109191091982 163786637973 212635284386 288576457381 318952926579 327573275946 577152914762 637905853158 865729372143 1731458744286 2020035201667 4040070403334 6060105605001 12120211210002