Search a number
-
+
122103212221012 = 221122931280622207
BaseRepresentation
bin11011110000110101011110…
…100101110010001001010100
3121000022221201210121221222211
4123300311132211302021110
5112001014334312033022
61111405235154003204
734501444266120451
oct3360653645621124
9530287653557884
10122103212221012
11359a6755090300
1211840506876504
13531938bb2aa69
142221b8142a828
15e1b2b8881e77
hex6f0d5e972254

122103212221012 has 72 divisors (see below), whose sum is σ = 250808904622080. Its totient is φ = 51858983668800.

The previous prime is 122103212220949. The next prime is 122103212221013. The reversal of 122103212221012 is 210122212301221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103212221013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139875988 + ... + 140746219.

It is an arithmetic number, because the mean of its divisors is an integer number (3483457008640).

Almost surely, 2122103212221012 is an apocalyptic number.

It is an amenable number.

122103212221012 is an abundant number, since it is smaller than the sum of its proper divisors (128705692401068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122103212221012 is a wasteful number, since it uses less digits than its factorization.

122103212221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280622293 (or 280622280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122103212221012 its reverse (210122212301221), we get a palindrome (332225424522233).

The spelling of 122103212221012 in words is "one hundred twenty-two trillion, one hundred three billion, two hundred twelve million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 11 22 29 31 44 58 62 116 121 124 242 319 341 484 638 682 899 1276 1364 1798 3509 3596 3751 7018 7502 9889 14036 15004 19778 39556 108779 217558 435116 280622207 561244414 1122488828 3086844277 6173688554 8138044003 8699288417 12347377108 16276088006 17398576834 32552176012 33955287047 34797153668 67910574094 89518484033 95692172587 135821148188 179036968066 191384345174 252279364093 358073936132 382768690348 504558728186 984703324363 1009117456372 1052613898457 1969406648726 2105227796914 2775073005023 3938813297452 4210455593828 5550146010046 11100292020092 30525803055253 61051606110506 122103212221012