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12122222102120 = 23513171371292093
BaseRepresentation
bin1011000001100110110010…
…1111100000011001101000
31120220212120111112012100102
42300121230233200121220
53042102302324231440
641440512201524532
72360541651516524
oct260315457403150
946825514465312
1012122222102120
113954007395159
12143944b7a3748
1369c175076780
142dca0c0b6d84
151604d800bb15
hexb066cbe0668

12122222102120 has 64 divisors (see below), whose sum is σ = 31100904691920. Its totient is φ = 4212609306624.

The previous prime is 12122222102093. The next prime is 12122222102131. The reversal of 12122222102120 is 2120122222121.

It can be written as a sum of positive squares in 8 ways, for example, as 5941240501156 + 6180981600964 = 2437466^2 + 2486158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12122222102092 and 12122222102101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685637207 + ... + 685654886.

Almost surely, 212122222102120 is an apocalyptic number.

12122222102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122222102120 is an abundant number, since it is smaller than the sum of its proper divisors (18978682589800).

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

12122222102120 is a wasteful number, since it uses less digits than its factorization.

12122222102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371292134 (or 1371292130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12122222102120 its reverse (2120122222121), we get a palindrome (14242344324241).

The spelling of 12122222102120 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 1371292093 2742584186 5485168372 6856460465 10970336744 13712920930 17826797209 23311965581 27425841860 35653594418 46623931162 54851683720 71307188836 89133986045 93247862324 116559827905 142614377672 178267972090 186495724648 233119655810 303055552553 356535944180 466239311620 606111105106 713071888360 932478623240 1212222210212 1515277762765 2424444420424 3030555525530 6061111051060 12122222102120