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122242101200 = 24521983193789
BaseRepresentation
bin111000111011000110…
…0100110111111010000
3102200112021002011010122
41301312030212333100
54000322434214300
6132053544245412
711555162500412
oct1616614467720
9380467064118
10122242101200
114792a52aa1a
121b836770868
13b6b1869a7b
145cb90229b2
1532a6c3bc85
hex1c76326fd0

122242101200 has 120 divisors (see below), whose sum is σ = 312870079200. Its totient is φ = 45764974080.

The previous prime is 122242101173. The next prime is 122242101211. The reversal of 122242101200 is 2101242221.

It is a congruent number.

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, 533906 + ... + 727694.

It is an arithmetic number, because the mean of its divisors is an integer number (2607250660).

Almost surely, 2122242101200 is an apocalyptic number.

122242101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122242101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156435039600).

122242101200 is an abundant number, since it is smaller than the sum of its proper divisors (190627978000).

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

122242101200 is a wasteful number, since it uses less digits than its factorization.

122242101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193909 (or 193898 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122242101200 its reverse (2101242221), we get a palindrome (124343343421).

The spelling of 122242101200 in words is "one hundred twenty-two billion, two hundred forty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 83 95 100 152 166 190 200 304 332 380 400 415 475 664 760 830 950 1328 1520 1577 1660 1900 2075 3154 3320 3800 4150 6308 6640 7600 7885 8300 12616 15770 16600 25232 31540 33200 39425 63080 78850 126160 157700 193789 315400 387578 630800 775156 968945 1550312 1937890 3100624 3681991 3875780 4844725 7363982 7751560 9689450 14727964 15503120 16084487 18409955 19378900 29455928 32168974 36819910 38757800 58911856 64337948 73639820 77515600 80422435 92049775 128675896 147279640 160844870 184099550 257351792 294559280 305605253 321689740 368199100 402112175 611210506 643379480 736398200 804224350 1222421012 1286758960 1472796400 1528026265 1608448700 2444842024 3056052530 3216897400 4889684048 6112105060 6433794800 7640131325 12224210120 15280262650 24448420240 30560525300 61121050600 122242101200