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12121100121000 = 2335313310797439
BaseRepresentation
bin1011000001100010100111…
…0111011111001110101000
31120220202200022022122121010
42300120221313133032220
53042043003112333000
641440205001543520
72360502106033533
oct260305167371650
946822608278533
1012121100121000
113953591027132
121439197aa4ba0
1369c02679aa10
142dc943095a1a
1516046e782d50
hexb0629ddf3a8

12121100121000 has 128 divisors (see below), whose sum is σ = 40726896537600. Its totient is φ = 2983655404800.

The previous prime is 12121100120947. The next prime is 12121100121029. The reversal of 12121100121000 is 12100112121.

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

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, 155359720 + ... + 155437719.

It is an arithmetic number, because the mean of its divisors is an integer number (318178879200).

Almost surely, 212121100121000 is an apocalyptic number.

12121100121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121100121000 is an abundant number, since it is smaller than the sum of its proper divisors (28605796416600).

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

12121100121000 is a wasteful number, since it uses less digits than its factorization.

12121100121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310797476 (or 310797462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12121100121000 its reverse (12100112121), we get a palindrome (12133200233121).

The spelling of 12121100121000 in words is "twelve trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 310797439 621594878 932392317 1243189756 1553987195 1864784634 2486379512 3107974390 3729569268 4040366707 4661961585 6215948780 7459138536 7769935975 8080733414 9323923170 12121100121 12431897560 15539871950 16161466828 18647846340 20201833535 23309807925 24242200242 31079743900 32322933656 37295692680 38849679875 40403667070 46619615850 48484400484 60605500605 62159487800 77699359750 80807334140 93239231700 96968800968 101009167675 116549039625 121211001210 155398719500 161614668280 186478463400 202018335350 233098079250 242422002420 303027503025 310797439000 404036670700 466196158500 484844004840 505045838375 606055006050 808073341400 932392317000 1010091676750 1212110012100 1515137515125 2020183353500 2424220024200 3030275030250 4040366707000 6060550060500 12121100121000