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421122124200 = 23352798884433
BaseRepresentation
bin1100010000011001101…
…01011010100110101000
31111020222201120110021010
412020030311122212220
523344424230433300
6521243312343520
742265540665021
oct6101465324650
91436881513233
10421122124200
11152662507998
1269748b44ba0
1330933641b9b
141654d505c48
15ae4ae1aa50
hex620cd5a9a8

421122124200 has 96 divisors (see below), whose sum is σ = 1322003779200. Its totient is φ = 110877711360.

The previous prime is 421122124187. The next prime is 421122124201. The reversal of 421122124200 is 2421221124.

It is a super-3 number, since 3×4211221242003 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (421122124201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4394817 + ... + 4489616.

It is an arithmetic number, because the mean of its divisors is an integer number (13770872700).

Almost surely, 2421122124200 is an apocalyptic number.

421122124200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421122124200 is an abundant number, since it is smaller than the sum of its proper divisors (900881655000).

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

421122124200 is a wasteful number, since it uses less digits than its factorization.

421122124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884531 (or 8884522 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 421122124200 its reverse (2421221124), we get a palindrome (423543345324).

The spelling of 421122124200 in words is "four hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 7900 9480 11850 15800 23700 47400 8884433 17768866 26653299 35537732 44422165 53306598 71075464 88844330 106613196 133266495 177688660 213226392 222110825 266532990 355377320 444221650 533065980 666332475 701870207 888443300 1066131960 1332664950 1403740414 1776886600 2105610621 2665329900 2807480828 3509351035 4211221242 5330659800 5614961656 7018702070 8422442484 10528053105 14037404140 16844884968 17546755175 21056106210 28074808280 35093510350 42112212420 52640265525 70187020700 84224424840 105280531050 140374041400 210561062100 421122124200