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12011022202212 = 223311167155938833
BaseRepresentation
bin1010111011001000100010…
…1101100011010101100100
31120112020112210021222202000
42232302020231203111210
53033242033140432322
641313442030045300
72346524220125565
oct256621055432544
946466483258660
1012011022202212
1139109339a7530
12141b997049830
136918330bbb27
142d749d7cc16c
1515c67a8e83ac
hexaec88b63564

12011022202212 has 192 divisors, whose sum is σ = 34196785459200. Its totient is φ = 3615495298560.

The previous prime is 12011022202211. The next prime is 12011022202273. The reversal of 12011022202212 is 21220222011021.

It is a happy number.

12011022202212 is a `hidden beast` number, since 120 + 1 + 102 + 220 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12011022202211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309279948 + ... + 309318780.

It is an arithmetic number, because the mean of its divisors is an integer number (178108257600).

Almost surely, 212011022202212 is an apocalyptic number.

12011022202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011022202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17098392729600).

12011022202212 is an abundant number, since it is smaller than the sum of its proper divisors (22185763256988).

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

12011022202212 is a wasteful number, since it uses less digits than its factorization.

12011022202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40583 (or 40575 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12011022202212 its reverse (21220222011021), we get a palindrome (33231244213233).

It can be divided in two parts, 120110 and 22202212, that added together give a palindrome (22322322).

The spelling of 12011022202212 in words is "twelve trillion, eleven billion, twenty-two million, two hundred two thousand, two hundred twelve".