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2212012111122 = 2331123452335797
BaseRepresentation
bin100000001100000110001…
…100100011010100010010
321211110120221001000011000
4200030012030203110102
5242220200100023442
64412103452202430
7315545502500142
oct40140614432422
97743527030130
102212012111122
11783122195950
122b8852469416
131307903987b8
14790c2022922
153c815cb5d4c
hex20306323512

2212012111122 has 128 divisors (see below), whose sum is σ = 5596997253120. Its totient is φ = 641003267520.

The previous prime is 2212012111093. The next prime is 2212012111129. The reversal of 2212012111122 is 2211112102122.

2212012111122 is a `hidden beast` number, since 221 + 201 + 211 + 11 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212012111095 and 2212012111104.

It is not an unprimeable number, because it can be changed into a prime (2212012111129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61775328 + ... + 61811124.

It is an arithmetic number, because the mean of its divisors is an integer number (43726541040).

Almost surely, 22212012111122 is an apocalyptic number.

2212012111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212012111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798498626560).

2212012111122 is an abundant number, since it is smaller than the sum of its proper divisors (3384985141998).

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

2212012111122 is a wasteful number, since it uses less digits than its factorization.

2212012111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40365 (or 40359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2212012111122 its reverse (2211112102122), we get a palindrome (4423124213244).

The spelling of 2212012111122 in words is "two trillion, two hundred twelve billion, twelve million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4523 4554 6831 9046 13569 13662 27138 35797 40707 49753 71594 81414 99506 104029 107391 122121 149259 208058 214782 244242 298518 312087 322173 393767 447777 624174 644346 787534 823331 895554 936261 966519 1144319 1181301 1343331 1646662 1872522 1933038 2288638 2362602 2469993 2686662 2808783 3432957 3543903 4939986 5617566 6865914 7087806 7409979 9056641 10298871 10631709 14819958 18113282 20597742 21263418 22229937 27169923 30896613 44459874 54339846 61793226 81509769 161909831 163019538 244529307 323819662 485729493 489058614 971458986 1457188479 1781008141 2914376958 3562016282 3723926113 4371565437 5343024423 7447852226 8743130874 10686048846 11171778339 16029073269 22343556678 32058146538 33515335017 40963187243 48087219807 67030670034 81926374486 96174439614 100546005051 122889561729 201092010102 245779123458 368668685187 737337370374 1106006055561 2212012111122