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212100122110020 = 223519721925772647
BaseRepresentation
bin110000001110011101101000…
…011011110110100001000100
31000210222120111012010100001220
4300032131220123312201010
5210300022022230010040
62031033241223520340
762450504515245444
oct6016355033664104
91023876435110056
10212100122110020
116164417a546321
121b9565118b90b0
139146c56873641
143a539b496c124
15197c326cba2d0
hexc0e7686f6844

212100122110020 has 96 divisors (see below), whose sum is σ = 625223822361600. Its totient is φ = 53575764142464.

The previous prime is 212100122110003. The next prime is 212100122110027. The reversal of 212100122110020 is 20011221001212.

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

It is not an unprimeable number, because it can be changed into a prime (212100122110027) 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, 4656664 + ... + 21115983.

It is an arithmetic number, because the mean of its divisors is an integer number (6512748149600).

Almost surely, 2212100122110020 is an apocalyptic number.

212100122110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100122110020 is an abundant number, since it is smaller than the sum of its proper divisors (413123700251580).

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

212100122110020 is a wasteful number, since it uses less digits than its factorization.

212100122110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25779897 (or 25779895 counting only the distinct ones).

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

Adding to 212100122110020 its reverse (20011221001212), we get a palindrome (232111343111232).

The spelling of 212100122110020 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 7219 14438 21657 28876 36095 43314 72190 86628 108285 137161 144380 216570 274322 411483 433140 548644 685805 822966 1371610 1645932 2057415 2743220 4114830 8229660 25772647 51545294 77317941 103090588 128863235 154635882 257726470 309271764 386589705 489680293 515452940 773179410 979360586 1469040879 1546358820 1958721172 2448401465 2938081758 4896802930 5876163516 7345204395 9793605860 14690408790 29380817580 186052738693 372105477386 558158216079 744210954772 930263693465 1116316432158 1860527386930 2232632864316 2790791080395 3535002035167 3721054773860 5581582160790 7070004070334 10605006105501 11163164321580 14140008140668 17675010175835 21210012211002 35350020351670 42420024422004 53025030527505 70700040703340 106050061055010 212100122110020