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2122102021212 = 223359210495381
BaseRepresentation
bin11110111000010111001…
…000110001110001011100
321111212111221100012111000
4132320113020301301130
5234232031104134322
64302514043030300
7306213444363135
oct36702710616134
97455457305430
102122102021212
11748a842a4618
122a333b80b390
13125162096574
14749d304ac8c
153a3027993ac
hex1ee17231c5c

2122102021212 has 144 divisors (see below), whose sum is σ = 5602952628000. Its totient is φ = 694586062080.

The previous prime is 2122102021189. The next prime is 2122102021217. The reversal of 2122102021212 is 2121202012212.

It is a happy number.

2122102021212 is a `hidden beast` number, since 212 + 210 + 20 + 212 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122102021217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394366762 + ... + 394372142.

It is an arithmetic number, because the mean of its divisors is an integer number (38909393250).

Almost surely, 22122102021212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122102021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801476314000).

2122102021212 is an abundant number, since it is smaller than the sum of its proper divisors (3480850606788).

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

2122102021212 is a wasteful number, since it uses less digits than its factorization.

2122102021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122102021212 its reverse (2121202012212), we get a palindrome (4243304033424).

The spelling of 2122102021212 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1049 1062 1593 2098 2124 3147 3186 3481 4196 5381 6294 6372 6962 9441 10443 10762 12588 13924 16143 18882 20886 21524 28323 31329 32286 37764 41772 48429 56646 61891 62658 64572 93987 96858 113292 123782 125316 145287 185673 187974 193716 247564 290574 317479 371346 375948 557019 581148 634958 742692 952437 1114038 1269916 1671057 1904874 2228076 2857311 3342114 3651569 3809748 5644669 5714622 6684228 7303138 8571933 10954707 11289338 11429244 14606276 16934007 17143866 18731261 21909414 22578676 32864121 33868014 34287732 37462522 43818828 50802021 56193783 65728242 67736028 74925044 98592363 101604042 112387566 131456484 152406063 168581349 197184726 203208084 224775132 304812126 333035471 337162698 394369452 505744047 609624252 666070942 674325396 999106413 1011488094 1332141884 1998212826 2022976188 2997319239 3996425652 5994638478 8991957717 11989276956 17983915434 19649092789 35967830868 39298185578 58947278367 78596371156 117894556734 176841835101 235789113468 353683670202 530525505303 707367340404 1061051010606 2122102021212