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10121212002120 = 2335417128974041
BaseRepresentation
bin1001001101001000011100…
…1111101111111101001000
31022211120121122222221200020
42103102013033233331020
52311311220233031440
633305342014540440
72063143032353502
oct223220717577510
938746548887606
1010121212002120
11325242235228a
121175685507720
13585570479cbb
1426dc2540ad72
151284215053d0
hex934873eff48

10121212002120 has 128 divisors (see below), whose sum is σ = 31542301082880. Its totient is φ = 2596073984000.

The previous prime is 10121212002119. The next prime is 10121212002133. The reversal of 10121212002120 is 2120021212101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10121212002120.

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, 14137701 + ... + 14836340.

It is an arithmetic number, because the mean of its divisors is an integer number (246424227210).

Almost surely, 210121212002120 is an apocalyptic number.

10121212002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121212002120 is an abundant number, since it is smaller than the sum of its proper divisors (21421089080760).

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

10121212002120 is a wasteful number, since it uses less digits than its factorization.

10121212002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28974167 (or 28974163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121212002120 its reverse (2120021212101), we get a palindrome (12241233214221).

The spelling of 10121212002120 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 71 82 120 123 142 164 205 213 246 284 328 355 410 426 492 568 615 710 820 852 984 1065 1230 1420 1640 1704 2130 2460 2840 2911 4260 4920 5822 8520 8733 11644 14555 17466 23288 29110 34932 43665 58220 69864 87330 116440 174660 349320 28974041 57948082 86922123 115896164 144870205 173844246 231792328 289740410 347688492 434610615 579480820 695376984 869221230 1158961640 1187935681 1738442460 2057156911 2375871362 3476884920 3563807043 4114313822 4751742724 5939678405 6171470733 7127614086 8228627644 9503485448 10285784555 11879356810 12342941466 14255228172 16457255288 17819035215 20571569110 23758713620 24685882932 28510456344 30857353665 35638070430 41143138220 47517427240 49371765864 61714707330 71276140860 82286276440 84343433351 123429414660 142552281720 168686866702 246858829320 253030300053 337373733404 421717166755 506060600106 674747466808 843434333510 1012121200212 1265151500265 1686868667020 2024242400424 2530303000530 3373737334040 5060606001060 10121212002120