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1211211121000 = 23531776039371
BaseRepresentation
bin10001101000000001110…
…011110000000101101000
311021210100101102001210011
4101220001303300011220
5124321030021333000
62324231145501304
7153335640442006
oct21500163600550
94253311361704
101211211121000
11427743113251
121768a81a1834
138a2a819150a
14428a1473a76
152178e07e2ba
hex11a01cf0168

1211211121000 has 128 divisors (see below), whose sum is σ = 3001668658560. Its totient is φ = 455876736000.

The previous prime is 1211211120979. The next prime is 1211211121033. The reversal of 1211211121000 is 1211121121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129246315 + ... + 129255685.

It is an arithmetic number, because the mean of its divisors is an integer number (23450536395).

Almost surely, 21211211121000 is an apocalyptic number.

1211211121000 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 1211211121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500834329280).

1211211121000 is an abundant number, since it is smaller than the sum of its proper divisors (1790457537560).

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

1211211121000 is a wasteful number, since it uses less digits than its factorization.

1211211121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1211211121000 its reverse (1211121121), we get a palindrome (1212422242121).

The spelling of 1211211121000 in words is "one trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 7603 8500 9371 15206 17000 18742 30412 37484 38015 46855 60824 74968 76030 93710 129251 152060 159307 187420 190075 234275 258502 304120 318614 374840 380150 468550 517004 637228 646255 760300 796535 937100 950375 1034008 1171375 1274456 1292510 1520600 1593070 1874200 1900750 2342750 2585020 3186140 3231275 3801500 3982675 4685500 5170040 6372280 6462550 7603000 7965350 9371000 12925100 15930700 16156375 19913375 25850200 31861400 32312750 39826750 64625500 71247713 79653500 129251000 142495426 159307000 284990852 356238565 569981704 712477130 1211211121 1424954260 1781192825 2422422242 2849908520 3562385650 4844844484 6056055605 7124771300 8905964125 9689688968 12112111210 14249542600 17811928250 24224222420 30280278025 35623856500 48448444840 60560556050 71247713000 121121112100 151401390125 242242224200 302802780250 605605560500 1211211121000