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12121311332232 = 23321923216749731
BaseRepresentation
bin1011000001100011011001…
…1101001100011110001000
31120220210020000202021221100
42300120312131030132020
53042043421200112412
641440241544541400
72360510252223654
oct260306635143610
946823200667840
1012121311332232
11395368a277273
121439236781860
1369c05b47bc8b
142dc963155a64
151604830a3edc
hexb063674c788

12121311332232 has 144 divisors (see below), whose sum is σ = 36124147004400. Its totient is φ = 3661356980160.

The previous prime is 12121311332231. The next prime is 12121311332233. The reversal of 12121311332232 is 23223311312121.

12121311332232 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 311 + 3 + 322 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12121311332231) and next prime (12121311332233).

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 = 12121311332196 and 12121311332205.

It is not an unprimeable number, because it can be changed into a prime (12121311332231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7651194 + ... + 9098537.

It is an arithmetic number, because the mean of its divisors is an integer number (250862131975).

Almost surely, 212121311332232 is an apocalyptic number.

12121311332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121311332232 is an abundant number, since it is smaller than the sum of its proper divisors (24002835672168).

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

12121311332232 is a wasteful number, since it uses less digits than its factorization.

12121311332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16749808 (or 16749778 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12121311332232 its reverse (23223311312121), we get a palindrome (35344622644353).

The spelling of 12121311332232 in words is "twelve trillion, one hundred twenty-one billion, three hundred eleven million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 529 552 684 828 874 1058 1311 1368 1587 1656 1748 2116 2622 3174 3496 3933 4232 4761 5244 6348 7866 9522 10051 10488 12696 15732 19044 20102 30153 31464 38088 40204 60306 80408 90459 120612 180918 241224 361836 723672 16749731 33499462 50249193 66998924 100498386 133997848 150747579 200996772 301495158 318244889 385243813 401993544 602990316 636489778 770487626 954734667 1155731439 1205980632 1272979556 1540975252 1909469334 2311462878 2545959112 2864204001 3081950504 3467194317 3818938668 4622925756 5728408002 6934388634 7319632447 7637877336 8860607699 9245851512 11456816004 13868777268 14639264894 17721215398 21958897341 22913632008 26581823097 27737554536 29278529788 35442430796 43917794682 53163646194 58557059576 65876692023 70884861592 79745469291 87835589364 106327292388 131753384046 159490938582 168351546281 175671178728 212654584776 263506768092 318981877164 336703092562 505054638843 527013536184 637963754328 673406185124 1010109277686 1346812370248 1515163916529 2020218555372 3030327833058 4040437110744 6060655666116 12121311332232