Search a number
-
+
122001222110020 = 2251117198411644103
BaseRepresentation
bin11011101111010110011111…
…100000011000101101000100
3120222222012110221020111200121
4123233112133200120231010
5111442332000330010040
61111250330535551324
734461204005355211
oct3357263740305504
9528865427214617
10122001222110020
1135967478352380
12118247a252b544
13530c886c27166
14221ac67d66b08
15e187e9a89c4a
hex6ef59f818b44

122001222110020 has 96 divisors (see below), whose sum is σ = 295949610544896. Its totient is φ = 41752299110400.

The previous prime is 122001222109981. The next prime is 122001222110069. The reversal of 122001222110020 is 20011222100221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122001222109976 and 122001222110003.

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, 73383289 + ... + 75027391.

It is an arithmetic number, because the mean of its divisors is an integer number (3082808443176).

Almost surely, 2122001222110020 is an apocalyptic number.

122001222110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001222110020 is an abundant number, since it is smaller than the sum of its proper divisors (173948388434876).

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

122001222110020 is a wasteful number, since it uses less digits than its factorization.

122001222110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663981 (or 1663979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122001222110020 its reverse (20011222100221), we get a palindrome (142012444210241).

The spelling of 122001222110020 in words is "one hundred twenty-two trillion, one billion, two hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 19841 39682 79364 99205 198410 218251 337297 396820 436502 674594 873004 1091255 1349188 1644103 1686485 2182510 3288206 3372970 3710267 4365020 6576412 6745940 7420534 8220515 14841068 16441030 18085133 18551335 27949751 32882060 36170266 37102670 55899502 72340532 74205340 90425665 111799004 139748755 180851330 279497510 307447261 361702660 558995020 614894522 1229789044 1537236305 3074472610 6148945220 32620647623 65241295246 130482590492 163103238115 326206476230 358827123853 554551009591 652412952460 717654247706 1109102019182 1435308495412 1794135619265 2218204038364 2772755047955 3588271238530 5545510095910 6100061105501 7176542477060 11091020191820 12200122211002 24400244422004 30500305527505 61000611055010 122001222110020