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12021222212021 = 1127313726936929
BaseRepresentation
bin1010111011101110100010…
…1011100000000110110101
31120120012212122102011202002
42232323220223200012311
53033423430341241041
641322250115425045
72350335043565531
oct256735053400665
946505778364662
1012021222212021
113915198600900
121421962bb5185
1369279a367ba9
142d7b8a336bc1
1515ca7611359b
hexaeee8ae01b5

12021222212021 has 48 divisors (see below), whose sum is σ = 13542708135600. Its totient is φ = 10659937812480.

The previous prime is 12021222212017. The next prime is 12021222212047.

12021222212021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 53005852900 + 11968216359121 = 230230^2 + 3459511^2 .

It is not a de Polignac number, because 12021222212021 - 22 = 12021222212017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12021222211984 and 12021222212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021222212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325504085 + ... + 325541013.

It is an arithmetic number, because the mean of its divisors is an integer number (282139752825).

Almost surely, 212021222212021 is an apocalyptic number.

12021222212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12021222212021 is a deficient number, since it is larger than the sum of its proper divisors (1521485923579).

12021222212021 is a wasteful number, since it uses less digits than its factorization.

12021222212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37430 (or 37419 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1202122 and 2212021, that added together give a palindrome (3414143).

The spelling of 12021222212021 in words is "twelve trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, twenty-one".

Divisors: 1 11 73 121 137 269 803 1507 2959 8833 10001 16577 19637 32549 36853 36929 110011 216007 405383 406219 1210121 2376077 2690269 2695817 4459213 4468409 5059273 9933901 29592959 29653987 55652003 109272911 325522549 326193857 369326929 612172033 725174773 1202002021 1360944437 4062596219 7976922503 14970388807 44688558409 87746147533 99348943901 164674276877 1092838382911 12021222212021