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12200210022012 = 22319711097687017
BaseRepresentation
bin1011000110001001010100…
…1011110011111001111100
31121012022212121120000022220
42301202111023303321330
53044342012231201022
641540411001405340
72366302402064415
oct261422513637174
947168777500286
1012200210022012
113984097553711
121450595799850
136a662339492c
143026c993080c
1516254ea2d85c
hexb18952f3e7c

12200210022012 has 96 divisors (see below), whose sum is σ = 30415221204480. Its totient is φ = 3794966461440.

The previous prime is 12200210021983. The next prime is 12200210022089. The reversal of 12200210022012 is 21022001200221.

It is a junction number, because it is equal to n+sod(n) for n = 12200210021982 and 12200210022000.

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, 17414728 + ... + 18101744.

It is an arithmetic number, because the mean of its divisors is an integer number (316825220880).

Almost surely, 212200210022012 is an apocalyptic number.

12200210022012 is a gapful number since it is divisible by the number (12) 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 12200210022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207610602240).

12200210022012 is an abundant number, since it is smaller than the sum of its proper divisors (18215011182468).

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

12200210022012 is a wasteful number, since it uses less digits than its factorization.

12200210022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688211 (or 688209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200210022012 its reverse (21022001200221), we get a palindrome (33222211222233).

The spelling of 12200210022012 in words is "twelve trillion, two hundred billion, two hundred ten million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 426 852 1097 1349 2194 2698 3291 4047 4388 5396 6582 8094 13164 16188 20843 41686 62529 77887 83372 125058 155774 233661 250116 311548 467322 687017 934644 1374034 1479853 2061051 2748068 2959706 4122102 4439559 5919412 8244204 8879118 13053323 17758236 26106646 39159969 48778207 52213292 78319938 97556414 146334621 156639876 195112828 292669242 585338484 753657649 926785933 1507315298 1853571866 2260972947 2780357799 3014630596 3707143732 4521945894 5560715598 9043891788 11121431196 14319495331 28638990662 42958485993 53509693079 57277981324 85916971986 107019386158 160529079237 171833943972 214038772316 321058158474 642116316948 1016684168501 2033368337002 3050052505503 4066736674004 6100105011006 12200210022012