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122100201211100 = 225272931194025427
BaseRepresentation
bin11011110000110010101011…
…000111101100010011011100
3121000022122221221212210220012
4123300302223013230103130
5112000442203002223400
61111404020313342352
734501306545011060
oct3360625307542334
9530278857783805
10122100201211100
11359a544a48aa62
121183ba064079b8
135318ccc0900a8
142221977599aa0
15e1b18e365d35
hex6f0cab1ec4dc

122100201211100 has 144 divisors (see below), whose sum is σ = 323355017287680. Its totient is φ = 39115525881600.

The previous prime is 122100201211049. The next prime is 122100201211103. The reversal of 122100201211100 is 1112102001221.

It is a super-2 number, since 2×1221002012111002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100201211103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96383414 + ... + 97642013.

Almost surely, 2122100201211100 is an apocalyptic number.

122100201211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100201211100 is an abundant number, since it is smaller than the sum of its proper divisors (201254816076580).

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

122100201211100 is a wasteful number, since it uses less digits than its factorization.

122100201211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194025508 (or 194025501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122100201211100 its reverse (1112102001221), we get a palindrome (123212303212321).

The spelling of 122100201211100 in words is "one hundred twenty-two trillion, one hundred billion, two hundred one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 31 35 50 58 62 70 100 116 124 140 145 155 175 203 217 290 310 350 406 434 580 620 700 725 775 812 868 899 1015 1085 1450 1550 1798 2030 2170 2900 3100 3596 4060 4340 4495 5075 5425 6293 8990 10150 10850 12586 17980 20300 21700 22475 25172 31465 44950 62930 89900 125860 157325 314650 629300 194025427 388050854 776101708 970127135 1358177989 1940254270 2716355978 3880508540 4850635675 5432711956 5626737383 6014788237 6790889945 9701271350 11253474766 12029576474 13581779890 19402542700 22506949532 24059152948 27163559780 28133686915 30073941185 33954449725 39387161681 42103517659 56267373830 60147882370 67908899450 78774323362 84207035318 112534747660 120295764740 135817798900 140668434575 150369705925 157548646724 168414070636 174428858873 196935808405 210517588295 281336869150 300739411850 348857717746 393871616810 421035176590 562673738300 601478823700 697715435492 787743233620 842070353180 872144294365 984679042025 1052587941475 1221002012111 1744288588730 1969358084050 2105175882950 2442004024222 3488577177460 3938716168100 4210351765900 4360721471825 4884008048444 6105010060555 8721442943650 12210020121110 17442885887300 24420040242220 30525050302775 61050100605550 122100201211100