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122200012000221 = 317192937117529733
BaseRepresentation
bin11011110010001111101000…
…010011101000101111011101
3121000200012120221111020121120
4123302033220103220233131
5112004111111033001341
61111521524401121153
734511442133506261
oct3362175023505735
9530605527436546
10122200012000221
1135a33809032131
12118572209291b9
13532554762231c
1422267254460a1
15e1da81b78066
hex6f23e84e8bdd

122200012000221 has 64 divisors (see below), whose sum is σ = 192936811334400. Its totient is φ = 68238702637056.

The previous prime is 122200012000169. The next prime is 122200012000229. The reversal of 122200012000221 is 122000210002221.

It is not a de Polignac number, because 122200012000221 - 211 = 122200011998173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122200012000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200012000229) 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, 57725130 + ... + 59804603.

It is an arithmetic number, because the mean of its divisors is an integer number (3014637677100).

Almost surely, 2122200012000221 is an apocalyptic number.

It is an amenable number.

122200012000221 is a deficient number, since it is larger than the sum of its proper divisors (70736799334179).

122200012000221 is a wasteful number, since it uses less digits than its factorization.

122200012000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117529838.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122200012000221 its reverse (122000210002221), we get a palindrome (244200222002442).

The spelling of 122200012000221 in words is "one hundred twenty-two trillion, two hundred billion, twelve million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 17 19 29 37 51 57 87 111 323 493 551 629 703 969 1073 1479 1653 1887 2109 3219 9367 11951 18241 20387 28101 35853 54723 61161 346579 1039737 117529733 352589199 1998005461 2233064927 3408362257 4348600121 5994016383 6699194781 10225086771 13045800363 37962103759 57942158369 64758882883 73926202057 82623402299 113886311277 126109403509 173826475107 194276648649 221778606171 247870206897 378328210527 1100901009011 1404597839083 2143859859653 2396078666671 3302703027033 4213793517249 6431579578959 7188236000013 40733337333407 122200012000221