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122012020200 = 23352729050481
BaseRepresentation
bin111000110100001111…
…0111010110111101000
3102122221020010211100010
41301220132322313220
53444340034121300
6132015045011520
711546400026340
oct1615036726750
9378836124303
10122012020200
1147821671734
121b7916b3ba0
13b675cac975
145c9664dd20
15329193ea50
hex1c687bade8

122012020200 has 96 divisors (see below), whose sum is σ = 432271172160. Its totient is φ = 27888460800.

The previous prime is 122012020181. The next prime is 122012020259. The reversal of 122012020200 is 2020210221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14521041 + ... + 14529440.

It is an arithmetic number, because the mean of its divisors is an integer number (4502824710).

Almost surely, 2122012020200 is an apocalyptic number.

122012020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012020200 is an abundant number, since it is smaller than the sum of its proper divisors (310259151960).

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

122012020200 is a wasteful number, since it uses less digits than its factorization.

122012020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29050507 (or 29050498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122012020200 its reverse (2020210221), we get a palindrome (124032230421).

The spelling of 122012020200 in words is "one hundred twenty-two billion, twelve million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 29050481 58100962 87151443 116201924 145252405 174302886 203353367 232403848 290504810 348605772 406706734 435757215 581009620 610060101 697211544 726262025 813413468 871514430 1016766835 1162019240 1220120202 1452524050 1626826936 1743028860 2033533670 2178786075 2440240404 2905048100 3050300505 3486057720 4067067340 4357572150 4880480808 5083834175 5810096200 6100601010 8134134680 8715144300 10167668350 12201202020 15251502525 17430288600 20335336700 24402404040 30503005050 40670673400 61006010100 122012020200