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20122121120200 = 23521147194604653
BaseRepresentation
bin1001001001101000010111…
…11000011010100111001000
32122020122201012220012001121
410210310023320122213020
510114140101001321300
6110443550321325024
74144526630304121
oct444641370324710
978218635805047
1020122121120200
11645881a876160
12230b975796774
13b2c67aa721c8
144d7cb718b048
1524d65117681a
hex124d0be1a9c8

20122121120200 has 96 divisors (see below), whose sum is σ = 52122910527360. Its totient is φ = 7161451193600.

The previous prime is 20122121120173. The next prime is 20122121120201. The reversal of 20122121120200 is 202112122102.

It is a happy number.

20122121120200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (20122121120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97198927 + ... + 97405726.

It is an arithmetic number, because the mean of its divisors is an integer number (542946984660).

Almost surely, 220122121120200 is an apocalyptic number.

20122121120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122121120200 is an abundant number, since it is smaller than the sum of its proper divisors (32000789407160).

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

20122121120200 is a wasteful number, since it uses less digits than its factorization.

20122121120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194604727 (or 194604718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122121120200 its reverse (202112122102), we get a palindrome (20324233242302).

The spelling of 20122121120200 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 194604653 389209306 778418612 973023265 1556837224 1946046530 2140651183 3892093060 4281302366 4865116325 7784186120 8562604732 9146418691 9730232650 10703255915 17125209464 18292837382 19460465300 21406511830 36585674764 38920930600 42813023660 45732093455 53516279575 73171349528 85626047320 91464186910 100610605601 107032559150 182928373820 201221211202 214065118300 228660467275 365856747640 402442422404 428130236600 457320934550 503053028005 804884844808 914641869100 1006106056010 1829283738200 2012212112020 2515265140025 4024424224040 5030530280050 10061060560100 20122121120200