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12021112100000 = 2555120211121
BaseRepresentation
bin1010111011101110001000…
…0111011101010010100000
31120120012120222012220110002
42232323202013131102200
53033423214144200000
641322231143355132
72350332235626323
oct256734207352240
946505528186402
1012021112100000
113915141433033
121421932152aa8
136927805c3853
142d7b798727ba
1515ca6b6128d5
hexaeee21dd4a0

12021112100000 has 72 divisors (see below), whose sum is σ = 29581312479516. Its totient is φ = 4808444800000.

The previous prime is 12021112099951. The next prime is 12021112100029. The reversal of 12021112100000 is 121112021.

12021112100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2437594384 + 12018674505616 = 49372^2 + 3466796^2 .

It is a super-2 number, since 2×120211121000002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60005561 + ... + 60205560.

Almost surely, 212021112100000 is an apocalyptic number.

12021112100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021112100000 is an abundant number, since it is smaller than the sum of its proper divisors (17560200379516).

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

12021112100000 is an frugal number, since it uses more digits than its factorization.

12021112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120211156 (or 120211128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12021112100000 its reverse (121112021), we get a palindrome (12021233212021).

The spelling of 12021112100000 in words is "twelve trillion, twenty-one billion, one hundred twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 120211121 240422242 480844484 601055605 961688968 1202111210 1923377936 2404222420 3005278025 3846755872 4808444840 6010556050 9616889680 12021112100 15026390125 19233779360 24042224200 30052780250 48084448400 60105560500 75131950625 96168896800 120211121000 150263901250 240422242000 300527802500 375659753125 480844484000 601055605000 751319506250 1202111210000 1502639012500 2404222420000 3005278025000 6010556050000 12021112100000