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12122102221110 = 233576413810699
BaseRepresentation
bin1011000001100110010110…
…0110001100100100110110
31120220212021010221121112000
42300121211212030210312
53042102031132033420
641440452240240130
72360535664532310
oct260314546144466
946825233847460
1012122102221110
113953a55754842
121439417610046
1369c156291a6b
142dc9da1cc7b0
151604cc72b690
hexb066598c936

12122102221110 has 64 divisors (see below), whose sum is σ = 36943549632000. Its totient is φ = 2770766221536.

The previous prime is 12122102221093. The next prime is 12122102221123. The reversal of 12122102221110 is 1112220122121.

12122102221110 is a `hidden beast` number, since 1 + 212 + 210 + 22 + 211 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3206903460 + ... + 3206907239.

It is an arithmetic number, because the mean of its divisors is an integer number (577242963000).

Almost surely, 212122102221110 is an apocalyptic number.

12122102221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122102221110 is an abundant number, since it is smaller than the sum of its proper divisors (24821447410890).

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

12122102221110 is a wasteful number, since it uses less digits than its factorization.

12122102221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413810722 (or 6413810716 counting only the distinct ones).

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

Adding to 12122102221110 its reverse (1112220122121), we get a palindrome (13234322343231).

The spelling of 12122102221110 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 6413810699 12827621398 19241432097 32069053495 38482864194 44896674893 57724296291 64138106990 89793349786 96207160485 115448592582 134690024679 173172888873 192414320970 224483374465 269380049358 288621481455 346345777746 404070074037 448966748930 577242962910 673450123395 808140148074 865864444365 1212210222111 1346900246790 1731728888730 2020350370185 2424420444222 4040700740370 6061051110555 12122102221110