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12001010011221 = 371197535592003
BaseRepresentation
bin1010111010100011001111…
…1100000100110001010101
31120111021201000120222201110
42232220303330010301111
53033111032030324341
641305104330045233
72346021133660440
oct256506374046125
946437630528643
1012001010011221
113907666316220
121419a61b79819
136908c8a2376a
142d6bcdbb4657
1515c29192d216
hexaea33f04c55

12001010011221 has 32 divisors (see below), whose sum is σ = 20155398294528. Its totient is φ = 6170019863040.

The previous prime is 12001010011219. The next prime is 12001010011259. The reversal of 12001010011221 is 12211001010021.

12001010011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001010011221 - 21 = 12001010011219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001010011197 and 12001010011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001010011021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267773595 + ... + 267818408.

It is an arithmetic number, because the mean of its divisors is an integer number (629856196704).

Almost surely, 212001010011221 is an apocalyptic number.

12001010011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001010011221 is a deficient number, since it is larger than the sum of its proper divisors (8154388283307).

12001010011221 is a wasteful number, since it uses less digits than its factorization.

12001010011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535592121.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001010011221 its reverse (12211001010021), we get a palindrome (24212011021242).

The spelling of 12001010011221 in words is "twelve trillion, one billion, ten million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 97 231 291 679 1067 2037 3201 7469 22407 535592003 1606776009 3749144021 5891512033 11247432063 17674536099 41240584231 51952424291 123721752693 155857272873 363666970037 571476667201 1091000910111 1714430001603 4000336670407 12001010011221