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12210110011120 = 2457173291138971
BaseRepresentation
bin1011000110101110001101…
…0001010001011011110000
31121020021102120010120022011
42301223203101101123300
53100022301130323440
641545125212452304
72400102623440420
oct261534321213360
947207376116264
1012210110011120
113988307869a9a
12145249917a094
136a7540436658
14302d8869c480
1516292dc339ea
hexb1ae34516f0

12210110011120 has 160 divisors (see below), whose sum is σ = 34354402891776. Its totient is φ = 3939848294400.

The previous prime is 12210110011087. The next prime is 12210110011123. The reversal of 12210110011120 is 2111001101221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12210110011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210110011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313293235 + ... + 313332205.

Almost surely, 212210110011120 is an apocalyptic number.

12210110011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210110011120 is an abundant number, since it is smaller than the sum of its proper divisors (22144292880656).

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

12210110011120 is a wasteful number, since it uses less digits than its factorization.

12210110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71919 (or 71913 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12210110011120 its reverse (2111001101221), we get a palindrome (14321111112341).

The spelling of 12210110011120 in words is "twelve trillion, two hundred ten billion, one hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 32911 38971 65822 77942 131644 155884 164555 194855 230377 263288 272797 311768 329110 389710 460754 526576 545594 559487 623536 658220 662507 779420 921508 1091188 1118974 1151885 1316440 1325014 1363985 1558840 1843016 2182376 2237948 2303770 2632880 2650028 2727970 2797435 3117680 3312535 3686032 3916409 4364752 4475896 4607540 4637549 5300056 5455940 5594870 6625070 7832818 8951792 9215080 9275098 10600112 10911880 11189740 13250140 15665636 18430160 18550196 19582045 21823760 22379480 23187745 26500280 31331272 37100392 39164090 44758960 46375490 53000560 62662544 74200784 78328180 92750980 156656360 185501960 313312720 371003920 1282574581 2565149162 5130298324 6412872905 8978022067 10260596648 12825745810 17956044134 20521193296 21803767877 25651491620 35912088268 43607535754 44890110335 51302983240 71824176536 87215071508 89780220670 102605966480 109018839385 143648353072 152626375139 174430143016 179560441340 218037678770 305252750278 348860286032 359120882680 436075357540 610505500556 718241765360 763131875695 872150715080 1221011001112 1526263751390 1744301430160 2442022002224 3052527502780 6105055005560 12210110011120