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12122031211230 = 23583103450710487
BaseRepresentation
bin1011000001100110000101…
…0111010100001011011110
31120220212002012022221021110
42300121201113110023132
53042101404442224410
641440441222242450
72360534143131363
oct260314127241336
946825065287243
1012122031211230
113953a19663a96
1214393b7886426
1369c14465b695
142dc9d09c646a
151604c63a1720
hexb06615d42de

12122031211230 has 128 divisors (see below), whose sum is σ = 29738681376768. Its totient is φ = 3161586379392.

The previous prime is 12122031211193. The next prime is 12122031211321. The reversal of 12122031211230 is 3211213022121.

It is a super-2 number, since 2×121220312112302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122031211197 and 12122031211206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155905047 + ... + 1155915533.

It is an arithmetic number, because the mean of its divisors is an integer number (232333448256).

Almost surely, 212122031211230 is an apocalyptic number.

12122031211230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122031211230 is an abundant number, since it is smaller than the sum of its proper divisors (17616650165538).

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

12122031211230 is a wasteful number, since it uses less digits than its factorization.

12122031211230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12122031211230 its reverse (3211213022121), we get a palindrome (15333244233351).

The spelling of 12122031211230 in words is "twelve trillion, one hundred twenty-two billion, thirty-one million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 83 103 166 206 249 309 415 498 515 618 830 1030 1245 1545 2490 3090 4507 8549 9014 10487 13521 17098 20974 22535 25647 27042 31461 42745 45070 51294 52435 62922 67605 85490 104870 128235 135210 157305 256470 314610 374081 464221 748162 870421 928442 1080161 1122243 1392663 1740842 1870405 2160322 2244486 2321105 2611263 2785326 3240483 3740810 4352105 4642210 5222526 5400805 5611215 6480966 6963315 8704210 10801610 11222430 13056315 13926630 16202415 26112630 32404830 38530343 47264909 77060686 89653363 94529818 115591029 141794727 179306726 192651715 231182058 236324545 268960089 283589454 385303430 448266815 472649090 537920178 577955145 708973635 896533630 1155910290 1344800445 1417947270 2689600890 3922987447 4868285627 7845974894 9736571254 11768962341 14604856881 19614937235 23537924682 24341428135 29209713762 39229874470 48682856270 58844811705 73024284405 117689623410 146048568810 404067707041 808135414082 1212203121123 2020338535205 2424406242246 4040677070410 6061015605615 12122031211230