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121132201122020 = 225115639157106801
BaseRepresentation
bin11011100010101101001001…
…110100011001100011100100
3120212220010101100221021211002
4123202231021310121203210
5111334112221441401040
61105343210500132432
734341340603012004
oct3342551164314344
9525803340837732
10121132201122020
1135661972694840
1211704295097118
1352789436022aa
1421cab89032004
15e00dd70bea15
hex6e2b49d198e4

121132201122020 has 96 divisors (see below), whose sum is σ = 278028723079296. Its totient is φ = 43964621568000.

The previous prime is 121132201122019. The next prime is 121132201122041. The reversal of 121132201122020 is 20221102231121.

121132201122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121132201121983 and 121132201122001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134132620 + ... + 1134239420.

It is an arithmetic number, because the mean of its divisors is an integer number (2896132532076).

Almost surely, 2121132201122020 is an apocalyptic number.

121132201122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121132201122020 is an abundant number, since it is smaller than the sum of its proper divisors (156896521957276).

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

121132201122020 is a wasteful number, since it uses less digits than its factorization.

121132201122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116541 (or 116539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 121132201122020 its reverse (20221102231121), we get a palindrome (141353303353141).

The spelling of 121132201122020 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, two hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 563 1126 2252 2815 5630 6193 9157 11260 12386 18314 24772 30965 36628 45785 61930 91570 100727 106801 123860 183140 201454 213602 402908 427204 503635 534005 1007270 1068010 1174811 2014540 2136020 2349622 4699244 5155391 5874055 10310782 11748110 20621564 23496220 25776955 51553910 56709301 60128963 103107820 113418602 120257926 226837204 240515852 283546505 300644815 567093010 601289630 661418593 977976757 1134186020 1202579260 1322837186 1955953514 2645674372 3307092965 3911907028 4889883785 6614185930 9779767570 10757744327 13228371860 19559535140 21515488654 43030977308 53788721635 107577443270 215154886540 550600914191 1101201828382 2202403656764 2753004570955 5506009141910 6056610056101 11012018283820 12113220112202 24226440224404 30283050280505 60566100561010 121132201122020