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212021110000120 = 235192365123186253
BaseRepresentation
bin110000001101010100000010…
…111100100100100111111000
31000210201000112200220021112011
4300031110002330210213320
5210242223213130000440
62030533053040055304
762442006520350061
oct6015240274444770
91023630480807464
10212021110000120
1161613714241743
121b943140904534
13913c6742c89a5
143a4dc3b0ab568
15197a2503d99ea
hexc0d502f249f8

212021110000120 has 128 divisors (see below), whose sum is σ = 523998957427200. Its totient is φ = 76849994985984.

The previous prime is 212021110000111. The next prime is 212021110000159. The reversal of 212021110000120 is 21000011120212.

It is a self number, because there is not a number n which added to its sum of digits gives 212021110000120.

It is a congruent number.

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, 1138256914 + ... + 1138443166.

It is an arithmetic number, because the mean of its divisors is an integer number (4093741854900).

Almost surely, 2212021110000120 is an apocalyptic number.

212021110000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021110000120 is an abundant number, since it is smaller than the sum of its proper divisors (311977847427080).

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

212021110000120 is a wasteful number, since it uses less digits than its factorization.

212021110000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251429 (or 251425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212021110000120 its reverse (21000011120212), we get a palindrome (233021121120332).

The spelling of 212021110000120 in words is "two hundred twelve trillion, twenty-one billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 3496 4370 8740 17480 65123 130246 186253 260492 325615 372506 520984 651230 745012 931265 1237337 1302460 1490024 1497829 1862530 2474674 2604920 2995658 3538807 3725060 4283819 4949348 5991316 6186685 7077614 7450120 7489145 8567638 9898696 11982632 12373370 14155228 14978290 17135276 17694035 21419095 24746740 28310456 28458751 29956580 34270552 35388070 42838190 49493480 56917502 59913160 70776140 81392561 85676380 113835004 141552280 142293755 162785122 171352760 227670008 284587510 325570244 406962805 569175020 651140488 813925610 1138350040 1627851220 3255702440 12129354119 24258708238 48517416476 60646770595 97034832952 121293541190 230457728261 242587082380 278975144737 460915456522 485174164760 557950289474 921830913044 1115900578948 1152288641305 1394875723685 1843661826088 2231801157896 2304577282610 2789751447370 4609154565220 5300527750003 5579502894740 9218309130440 10601055500006 11159005789480 21202111000012 26502638750015 42404222000024 53005277500030 106010555000060 212021110000120