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20221102122012 = 223211414328963919
BaseRepresentation
bin1001001100100000101111…
…00110111110010000011100
32122121010012101010001120200
410212100113212332100130
510122300304120401022
6111001240203543500
74154632522034331
oct446202746762034
978533171101520
1020221102122012
1164967a2a918a0
122326b9a22ab90
13b38ac342232c
144dc9c6b56988
15250ee5bcabac
hex1264179be41c

20221102122012 has 144 divisors (see below), whose sum is σ = 58449653982720. Its totient is φ = 5839125868800.

The previous prime is 20221102121951. The next prime is 20221102122017. The reversal of 20221102122012 is 21022120112202.

It is a happy number.

20221102122012 is a `hidden beast` number, since 20 + 221 + 10 + 212 + 201 + 2 = 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 (20221102122017) 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, 13783812 + ... + 15180107.

It is an arithmetic number, because the mean of its divisors is an integer number (405900374880).

Almost surely, 220221102122012 is an apocalyptic number.

20221102122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20221102122012 is an abundant number, since it is smaller than the sum of its proper divisors (38228551860708).

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

20221102122012 is a wasteful number, since it uses less digits than its factorization.

20221102122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28964024 (or 28964019 counting only the distinct ones).

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

Adding to 20221102122012 its reverse (21022120112202), we get a palindrome (41243222234214).

The spelling of 20221102122012 in words is "twenty trillion, two hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 43 44 66 82 86 99 123 129 132 164 172 198 246 258 369 387 396 451 473 492 516 738 774 902 946 1353 1419 1476 1548 1763 1804 1892 2706 2838 3526 4059 4257 5289 5412 5676 7052 8118 8514 10578 15867 16236 17028 19393 21156 31734 38786 58179 63468 77572 116358 174537 232716 349074 698148 28963919 57927838 86891757 115855676 173783514 260675271 318603109 347567028 521350542 637206218 955809327 1042701084 1187520679 1245448517 1274412436 1911618654 2375041358 2490897034 2867427981 3562562037 3736345551 3823237308 4750082716 4981794068 5734855962 7125124074 7472691102 10687686111 11209036653 11469711924 13062727469 13699933687 14250248148 14945382204 21375372222 22418073306 26125454938 27399867374 39188182407 41099801061 42750744444 44836146612 51063389197 52250909876 54799734748 78376364814 82199602122 102126778394 117564547221 123299403183 153190167591 156752729628 164399204244 204253556788 235129094442 246598806366 306380335182 459570502773 470258188884 493197612732 561697281167 612760670364 919141005546 1123394562334 1685091843501 1838282011092 2246789124668 3370183687002 5055275530503 6740367374004 10110551061006 20221102122012