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12011011021220 = 225619845091001
BaseRepresentation
bin1010111011001000100000…
…0010111001100110100100
31120112020112000020221022012
42232302020002321212210
53033242022310134340
641313440550253352
72346524023110131
oct256621002714644
946466460227265
1012011011021220
113910928660042
12141b993357258
136918309a5863
142d749c11b588
1515c67993a565
hexaec880b99a4

12011011021220 has 24 divisors (see below), whose sum is σ = 25636616969208. Its totient is φ = 4725643680000.

The previous prime is 12011011021213. The next prime is 12011011021231. The reversal of 12011011021220 is 2212011011021.

It can be written as a sum of positive squares in 4 ways, for example, as 114746944 + 12010896274276 = 10712^2 + 3465674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12011011021195 and 12011011021204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4922544281 + ... + 4922546720.

It is an arithmetic number, because the mean of its divisors is an integer number (1068192373717).

Almost surely, 212011011021220 is an apocalyptic number.

12011011021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011011021220 is an abundant number, since it is smaller than the sum of its proper divisors (13625605947988).

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

12011011021220 is a wasteful number, since it uses less digits than its factorization.

12011011021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845091071 (or 9845091069 counting only the distinct ones).

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

Adding to 12011011021220 its reverse (2212011011021), we get a palindrome (14223022032241).

The spelling of 12011011021220 in words is "twelve trillion, eleven billion, eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 9845091001 19690182002 39380364004 49225455005 98450910010 196901820020 600550551061 1201101102122 2402202204244 3002752755305 6005505510610 12011011021220