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12022011202100 = 2252797150840793
BaseRepresentation
bin1010111011110001011110…
…1101010000101000110100
31120120021220122001000122212
42232330113231100220310
53033432034331431400
641322500302312552
72350363434105254
oct256742755205064
946507818030585
1012022011202100
113915562a01819
121421b43288758
13692894964623
142d7c23037964
1515cac0513335
hexaef17b50a34

12022011202100 has 36 divisors (see below), whose sum is σ = 26120496933804. Its totient is φ = 4802770817280.

The previous prime is 12022011202099. The next prime is 12022011202111. The reversal of 12022011202100 is 120211022021.

It can be written as a sum of positive squares in 6 ways, for example, as 1963243740964 + 10058767461136 = 1401158^2 + 3171556^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 75340697 + ... + 75500096.

Almost surely, 212022011202100 is an apocalyptic number.

12022011202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022011202100 is an abundant number, since it is smaller than the sum of its proper divisors (14098485731704).

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

12022011202100 is a wasteful number, since it uses less digits than its factorization.

12022011202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150841604 (or 150841597 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12022011202100 its reverse (120211022021), we get a palindrome (12142222224121).

The spelling of 12022011202100 in words is "twelve trillion, twenty-two billion, eleven million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 797 1594 3188 3985 7970 15940 19925 39850 79700 150840793 301681586 603363172 754203965 1508407930 3016815860 3771019825 7542039650 15084079300 120220112021 240440224042 480880448084 601100560105 1202201120210 2404402240420 3005502800525 6011005601050 12022011202100