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122220012200 = 235211134273427
BaseRepresentation
bin111000111010011100…
…0010110001010101000
3102200110201111220201112
41301310320112022220
54000301310342300
6132051435005452
711554503651116
oct1616470261250
9380421456645
10122220012200
1147919013150
121b82b299888
13b6aa104860
145cb6112ab6
1532a4d26e35
hex1c74e162a8

122220012200 has 96 divisors (see below), whose sum is σ = 333840195360. Its totient is φ = 41024889600.

The previous prime is 122220012193. The next prime is 122220012203. The reversal of 122220012200 is 2210022221.

It is not an unprimeable number, because it can be changed into a prime (122220012203) 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, 2108114 + ... + 2165313.

It is an arithmetic number, because the mean of its divisors is an integer number (3477502035).

Almost surely, 2122220012200 is an apocalyptic number.

122220012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220012200 is an abundant number, since it is smaller than the sum of its proper divisors (211620183160).

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

122220012200 is a wasteful number, since it uses less digits than its factorization.

122220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273467 (or 4273458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122220012200 its reverse (2210022221), we get a palindrome (124430034421).

The spelling of 122220012200 in words is "one hundred twenty-two billion, two hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 5720 7150 14300 28600 4273427 8546854 17093708 21367135 34187416 42734270 47007697 55554551 85468540 94015394 106835675 111109102 170937080 188030788 213671350 222218204 235038485 277772755 376061576 427342700 444436408 470076970 555545510 611100061 854685400 940153940 1111091020 1175192425 1222200122 1388863775 1880307880 2222182040 2350384850 2444400244 2777727550 3055500305 4700769700 4888800488 5555455100 6111000610 9401539400 11110910200 12222001220 15277501525 24444002440 30555003050 61110006100 122220012200