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12011002120020 = 22354135391379633
BaseRepresentation
bin1010111011001000011110…
…0000111100011101010100
31120112020111101111201011010
42232302013200330131110
53033242013020320040
641313440031412220
72346523554335121
oct256620740743524
946466441451133
1012011002120020
113910923630482
12141b990384070
1369182bbaa187
142d749ac81748
1515c678c7ce80
hexaec8783c754

12011002120020 has 96 divisors (see below), whose sum is σ = 34460829164160. Its totient is φ = 3123928330240.

The previous prime is 12011002120009. The next prime is 12011002120049. The reversal of 12011002120020 is 2002120011021.

12011002120020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 12011002119978 and 12011002120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8016124 + ... + 9395756.

It is an arithmetic number, because the mean of its divisors is an integer number (358966970460).

Almost surely, 212011002120020 is an apocalyptic number.

12011002120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011002120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230414582080).

12011002120020 is an abundant number, since it is smaller than the sum of its proper divisors (22449827044140).

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

12011002120020 is a wasteful number, since it uses less digits than its factorization.

12011002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383225 (or 1383223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011002120020 its reverse (2002120011021), we get a palindrome (14013122131041).

The spelling of 12011002120020 in words is "twelve trillion, eleven billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 3539 7078 10617 14156 17695 21234 35390 42468 53085 70780 106170 145099 212340 290198 435297 580396 725495 870594 1379633 1450990 1741188 2176485 2759266 2901980 4138899 4352970 5518532 6898165 8277798 8705940 13796330 16555596 20694495 27592660 41388990 56564953 82777980 113129906 169694859 226259812 282824765 339389718 565649530 678779436 848474295 1131299060 1696948590 3393897180 4882521187 9765042374 14647563561 19530084748 24412605935 29295127122 48825211870 58590254244 73237817805 97650423740 146475635610 200183368667 292951271220 400366737334 600550106001 800733474668 1000916843335 1201100212002 2001833686670 2402200424004 3002750530005 4003667373340 6005501060010 12011002120020