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12122211222222 = 23171487394720249
BaseRepresentation
bin1011000001100110110000…
…0110000000001011001110
31120220212112202001102221020
42300121230012000023032
53042102242033102342
641440511132415010
72360541460163643
oct260315406001316
946825482042836
1012122211222222
113954001233a02
121439448017466
1369c172a3756a
142dca0a883dca
151604d70ad0ec
hexb066c1802ce

12122211222222 has 64 divisors (see below), whose sum is σ = 25695605376000. Its totient is φ = 3799338607616.

The previous prime is 12122211222157. The next prime is 12122211222223. The reversal of 12122211222222 is 22222211222121.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12122211222192 and 12122211222201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122211222223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598647154 + ... + 598667402.

It is an arithmetic number, because the mean of its divisors is an integer number (401493834000).

Almost surely, 212122211222222 is an apocalyptic number.

12122211222222 is an abundant number, since it is smaller than the sum of its proper divisors (13573394153778).

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

12122211222222 is a wasteful number, since it uses less digits than its factorization.

12122211222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25705.

The product of its digits is 1024, while the sum is 24.

Adding to 12122211222222 its reverse (22222211222121), we get a palindrome (34344422444343).

The spelling of 12122211222222 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 1487 2974 3947 4461 7894 8922 11841 20249 23682 25279 40498 50558 60747 67099 75837 121494 134198 151674 201297 344233 402594 688466 1032699 2065398 5869189 11738378 17607567 30110263 35215134 60220526 79922803 90330789 99776213 159845606 180661578 199552426 239768409 299328639 479536818 511874471 598657278 1023748942 1358687651 1535623413 2717375302 3071246826 4076062953 8152125906 118845208061 237690416122 356535624183 713071248366 2020368537037 4040737074074 6061105611111 12122211222222