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122211210121221 = 31317297111783283
BaseRepresentation
bin11011110010011010000011…
…110001000101000000000101
3121000201021111100201201202210
4123302122003301011000011
5112004302024242334341
61111531015503454033
734512316500122334
oct3362320361050005
9530637440651683
10122211210121221
1135a3853508a191
1211859426bb7319
1353266105c6920
1422270a8769d1b
15e1ded9ceec16
hex6f2683c45005

122211210121221 has 48 divisors (see below), whose sum is σ = 188334265415744. Its totient is φ = 70053241430016.

The previous prime is 122211210121207. The next prime is 122211210121243. The reversal of 122211210121221 is 122121012112221.

It is not a de Polignac number, because 122211210121221 - 26 = 122211210121157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211210121201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54798355 + ... + 56984928.

Almost surely, 2122211210121221 is an apocalyptic number.

It is an amenable number.

122211210121221 is a deficient number, since it is larger than the sum of its proper divisors (66123055294523).

122211210121221 is a wasteful number, since it uses less digits than its factorization.

122211210121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111783430 (or 111783413 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122211210121221 its reverse (122121012112221), we get a palindrome (244332222233442).

The spelling of 122211210121221 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 13 17 39 51 97 221 289 291 663 867 1261 1649 3757 3783 4947 11271 21437 28033 64311 84099 364429 1093287 111783283 335349849 1453182679 1900315811 4359548037 5700947433 10842978451 24704105543 32305368787 32528935353 74112316629 96916106361 140958719863 184330633667 419969794231 422876159589 552991901001 1259909382693 2396298237671 3133620772339 7188894713013 9400862317017 40737070040407 122211210121221