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12011121220100 = 2252412929541761
BaseRepresentation
bin1010111011001000111010…
…0111010001101000000100
31120112020210200121121202012
42232302032213101220010
53033242234013020400
641313455524233352
72346526531560512
oct256621647215004
946466720547665
1012011121220100
1139109848880a2
12141ba0423b858
1369184a77a5b2
142d74aca054b2
1515c684456d35
hexaec8e9d1a04

12011121220100 has 36 divisors (see below), whose sum is σ = 26699843618868. Its totient is φ = 4687266816000.

The previous prime is 12011121220061. The next prime is 12011121220123. The reversal of 12011121220100 is 102212111021.

It can be written as a sum of positive squares in 6 ways, for example, as 4639983099844 + 7371138120256 = 2154062^2 + 2714984^2 .

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, 1464766781 + ... + 1464774980.

Almost surely, 212011121220100 is an apocalyptic number.

12011121220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011121220100 is an abundant number, since it is smaller than the sum of its proper divisors (14688722398768).

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

12011121220100 is a wasteful number, since it uses less digits than its factorization.

12011121220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929541816 (or 2929541809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12011121220100 its reverse (102212111021), we get a palindrome (12113333331121).

The spelling of 12011121220100 in words is "twelve trillion, eleven billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 2929541761 5859083522 11718167044 14647708805 29295417610 58590835220 73238544025 120111212201 146477088050 240222424402 292954176100 480444848804 600556061005 1201112122010 2402224244020 3002780305025 6005560610050 12011121220100