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12001121122000 = 24537261782633
BaseRepresentation
bin1010111010100011101010…
…0011111011011011010000
31120111021222202200000001111
42232220322203323123100
53033111244001401000
641305123335343104
72346023653256533
oct256507243733320
946437882600044
1012001121122000
11390771300640a
121419a93221a94
13690915a5759a
142d6c00858a1a
1515c29b579cba
hexaea3a8fb6d0

12001121122000 has 80 divisors (see below), whose sum is σ = 29019461666832. Its totient is φ = 4800324249600.

The previous prime is 12001121121959. The next prime is 12001121122031. The reversal of 12001121122000 is 22112110021.

It can be written as a sum of positive squares in 8 ways, for example, as 516667689616 + 11484453432384 = 718796^2 + 3388872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145192684 + ... + 145275316.

Almost surely, 212001121122000 is an apocalyptic number.

12001121122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001121122000 is an abundant number, since it is smaller than the sum of its proper divisors (17018340544832).

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

12001121122000 is an equidigital number, since it uses as much as digits as its factorization.

12001121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155273 (or 155257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12001121122000 its reverse (22112110021), we get a palindrome (12023233232021).

The spelling of 12001121122000 in words is "twelve trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 72617 82633 145234 165266 290468 330532 363085 413165 580936 661064 726170 826330 1161872 1322128 1452340 1652660 1815425 2065825 2904680 3305320 3630850 4131650 5809360 6610640 7261700 8263300 9077125 10329125 14523400 16526600 18154250 20658250 29046800 33053200 36308500 41316500 72617000 82633000 145234000 165266000 6000560561 12001121122 24002242244 30002802805 48004484488 60005605610 96008968976 120011211220 150014014025 240022422440 300028028050 480044844880 600056056100 750070070125 1200112112200 1500140140250 2400224224400 3000280280500 6000560561000 12001121122000