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221201022022120 = 2357316122523471
BaseRepresentation
bin110010010010111001100000…
…010101110111000111101000
31002000012121111112220202222201
4302102321200111313013220
5212443124143114201440
62102242202513425544
764410150351154000
oct6222714025670750
91060177445822881
10221201022022120
1164532910261858
12209862a686b2b4
13965722280841a
143c8a28800b000
151a88e2d6e219a
hexc92e605771e8

221201022022120 has 64 divisors (see below), whose sum is σ = 580410844992000. Its totient is φ = 75840350402880.

The previous prime is 221201022022091. The next prime is 221201022022129. The reversal of 221201022022120 is 21220220102122.

It is not an unprimeable number, because it can be changed into a prime (221201022022129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8061248016 + ... + 8061275455.

It is an arithmetic number, because the mean of its divisors is an integer number (9068919453000).

Almost surely, 2221201022022120 is an apocalyptic number.

221201022022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201022022120 is an abundant number, since it is smaller than the sum of its proper divisors (359209822969880).

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

221201022022120 is a wasteful number, since it uses less digits than its factorization.

221201022022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16122523503 (or 16122523485 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221201022022120 its reverse (21220220102122), we get a palindrome (242421242124242).

The spelling of 221201022022120 in words is "two hundred twenty-one trillion, two hundred one billion, twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 16122523471 32245046942 64490093884 80612617355 112857664297 128980187768 161225234710 225715328594 322450469420 451430657188 564288321485 644900938840 790003650079 902861314376 1128576642970 1580007300158 2257153285940 3160014600316 3950018250395 4514306571880 5530025550553 6320029200632 7900036500790 11060051101106 15800073001580 22120102202212 27650127752765 31600146003160 44240204404424 55300255505530 110600511011060 221201022022120