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1220122111212 = 2232233762636359
BaseRepresentation
bin10001110000010100111…
…100011110110011101100
311022122100102000021022200
4101300110330132303230
5124442302230024322
62332303311141500
7154102522553214
oct21602474366354
94278312007280
101220122111212
114304a613a074
12178574514890
138b0983784a4
14430a8b19244
1521b115278ac
hex11c14f1ecec

1220122111212 has 144 divisors (see below), whose sum is σ = 3306321607680. Its totient is φ = 378390317184.

The previous prime is 1220122111183. The next prime is 1220122111213. The reversal of 1220122111212 is 2121112210221.

1220122111212 is a `hidden beast` number, since 1 + 220 + 1 + 221 + 11 + 212 = 666.

It is a super-2 number, since 2×12201221112122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1220122111213) 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, 191870089 + ... + 191876447.

It is an arithmetic number, because the mean of its divisors is an integer number (22960566720).

Almost surely, 21220122111212 is an apocalyptic number.

1220122111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220122111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653160803840).

1220122111212 is an abundant number, since it is smaller than the sum of its proper divisors (2086199496468).

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

1220122111212 is a wasteful number, since it uses less digits than its factorization.

1220122111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692 (or 12687 counting only the distinct ones).

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

Adding to 1220122111212 its reverse (2121112210221), we get a palindrome (3341234321433).

Subtracting 1220122111212 from its reverse (2121112210221), we obtain a palindrome (900990099009).

The spelling of 1220122111212 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 222 276 333 414 444 666 828 851 1332 1702 2553 3404 5106 6263 6359 7659 10212 12526 12718 15318 18789 19077 25052 25436 30636 37578 38154 56367 57231 75156 76308 112734 114462 144049 146257 225468 228924 231731 235283 288098 292514 432147 438771 463462 470566 576196 585028 695193 705849 864294 877542 926924 941132 1296441 1316313 1390386 1411698 1728588 1755084 2085579 2117547 2592882 2632626 2780772 2823396 4171158 4235094 5185764 5265252 5329813 5411509 8342316 8470188 10659626 10823018 15989439 16234527 21319252 21646036 31978878 32469054 39826417 47968317 48703581 63957756 64938108 79652834 95936634 97407162 119479251 159305668 191873268 194814324 238958502 358437753 477917004 716875506 916007591 1433751012 1473577429 1832015182 2748022773 2947154858 3664030364 4420732287 5496045546 5894309716 8244068319 8841464574 10992091092 13262196861 16488136638 17682929148 26524393722 32976273276 33892280867 53048787444 67784561734 101676842601 135569123468 203353685202 305030527803 406707370404 610061055606 1220122111212