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121100111201220 = 223523212114137179
BaseRepresentation
bin11011100010001111010001…
…000111000100001111000100
3120212210001112222002102001220
4123202033101013010033010
5111333101011431414340
61105320342325520340
734336123435125414
oct3342172107041704
9525701488072056
10121100111201220
113564a2a5777338
12116ba01a2730b0
1352758cb26ac88
1421c93c3202644
15e00159c6eed0
hex6e23d11c43c4

121100111201220 has 96 divisors (see below), whose sum is σ = 353839700229120. Its totient is φ = 30887839973760.

The previous prime is 121100111201219. The next prime is 121100111201227. The reversal of 121100111201220 is 22102111001121.

It is a happy number.

It is a super-2 number, since 2×1211001112012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121100111201220.

It is not an unprimeable number, because it can be changed into a prime (121100111201227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27202591 + ... + 31339769.

It is an arithmetic number, because the mean of its divisors is an integer number (3685830210720).

Almost surely, 2121100111201220 is an apocalyptic number.

121100111201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121100111201220 is an abundant number, since it is smaller than the sum of its proper divisors (232739589027900).

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

121100111201220 is a wasteful number, since it uses less digits than its factorization.

121100111201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158425 (or 4158423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121100111201220 its reverse (22102111001121), we get a palindrome (143202222202341).

The spelling of 121100111201220 in words is "one hundred twenty-one trillion, one hundred billion, one hundred eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 21211 42422 63633 84844 106055 127266 212110 254532 318165 424220 487853 636330 975706 1272660 1463559 1951412 2439265 2927118 4137179 4878530 5854236 7317795 8274358 9757060 12411537 14635590 16548716 20685895 24823074 29271180 41371790 49646148 62057685 82743580 95155117 124115370 190310234 248230740 285465351 380620468 475775585 570930702 951551170 1141861404 1427326755 1903102340 2854653510 5709307020 87753703769 175507407538 263261111307 351014815076 438768518845 526522222614 877537037690 1053044445228 1316305556535 1755074075380 2018335186687 2632611113070 4036670373374 5265222226140 6055005560061 8073340746748 10091675933435 12110011120122 20183351866870 24220022240244 30275027800305 40366703733740 60550055600610 121100111201220