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12001022012221 = 1122910159956531
BaseRepresentation
bin1010111010100011010010…
…1001110110101100111101
31120111021201212011200222221
42232220310221312230331
53033111043113342341
641305105435205341
72346021340662664
oct256506451665475
946437655150887
1012001022012221
113907672072800
121419a65ba6851
136908cb366048
142d6bd1619ddb
1515c2929eded1
hexaea34a76b3d

12001022012221 has 48 divisors (see below), whose sum is σ = 13804436016000. Its totient is φ = 10411921520000.

The previous prime is 12001022012209. The next prime is 12001022012251. The reversal of 12001022012221 is 12221022010021.

It is a happy number.

It is not a de Polignac number, because 12001022012221 - 213 = 12001022004029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001022012195 and 12001022012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001022012251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212262726 + ... + 212319256.

It is an arithmetic number, because the mean of its divisors is an integer number (287592417000).

Almost surely, 212001022012221 is an apocalyptic number.

12001022012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001022012221 is a deficient number, since it is larger than the sum of its proper divisors (1803414003779).

12001022012221 is a wasteful number, since it uses less digits than its factorization.

12001022012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57282 (or 57271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12001022012221 its reverse (12221022010021), we get a palindrome (24222044022242).

The spelling of 12001022012221 in words is "twelve trillion, one billion, twenty-two million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 29 101 121 319 599 1111 2929 3509 6589 12221 17371 32219 56531 60499 72479 191081 354409 621841 665489 1639399 1754471 2101891 5709631 6840251 7320379 18033389 19299181 33862069 62805941 165579299 198367279 212290991 372482759 690865351 982000001 1821372289 3420068969 4097310349 10802000011 20035095179 37620758659 99182000101 118822000121 413828345249 1091002001111 12001022012221