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22012112123001 = 33711132928084447
BaseRepresentation
bin1010000000101000110000…
…00111111011010001111001
32212221100002221101221211000
411000110120013323101321
510341121301200414001
6114452120311555213
74431215441616630
oct500243007732171
985840087357730
1022012112123001
117017314491130
12257611798bb09
13c3896bca93a0
1456156b594517
152828bb380a86
hex1405181fb479

22012112123001 has 128 divisors (see below), whose sum is σ = 45294597734400. Its totient is φ = 10191283764480.

The previous prime is 22012112122999. The next prime is 22012112123003. The reversal of 22012112123001 is 10032121121022.

22012112123001 is a `hidden beast` number, since 2 + 201 + 211 + 21 + 230 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22012112122999) and next prime (22012112123003).

It is not a de Polignac number, because 22012112123001 - 21 = 22012112122999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22012112123003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13258441 + ... + 14826006.

It is an arithmetic number, because the mean of its divisors is an integer number (353864044800).

Almost surely, 222012112123001 is an apocalyptic number.

22012112123001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22012112123001 is an abundant number, since it is smaller than the sum of its proper divisors (23282485611399).

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

22012112123001 is a wasteful number, since it uses less digits than its factorization.

22012112123001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28084516 (or 28084510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22012112123001 its reverse (10032121121022), we get a palindrome (32044233244023).

The spelling of 22012112123001 in words is "twenty-two trillion, twelve billion, one hundred twelve million, one hundred twenty-three thousand, one".

Divisors: 1 3 7 9 11 13 21 27 29 33 39 63 77 87 91 99 117 143 189 203 231 261 273 297 319 351 377 429 609 693 783 819 957 1001 1131 1287 1827 2079 2233 2457 2639 2871 3003 3393 3861 4147 5481 6699 7917 8613 9009 10179 12441 20097 23751 27027 29029 37323 60291 71253 87087 111969 261261 783783 28084447 84253341 196591129 252760023 308928917 365097811 589773387 758280069 814448963 926786751 1095293433 1769320161 2162502419 2443346889 2555684677 2780360253 3285880299 4016075921 5307960483 5701142741 6487507257 7330040667 7667054031 8341080759 8958938593 9857640897 10587836519 12048227763 17103428223 19462521771 21990122001 23001162093 26876815779 28112531447 31763509557 36144683289 51310284669 58387565313 62712570151 69003486279 74114855633 80630447337 84337594341 95290528671 108434049867 116466201709 153930854007 188137710453 222344566899 241891342011 253012783023 285871586013 349398605127 564413131359 667033700697 759038349069 815263411963 1048195815381 1693239394077 2001101102091 2445790235889 3144587446143 7337370707667 22012112123001