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122102112012201 = 32101239691813361
BaseRepresentation
bin11011110000110100011101…
…000000110100011110101001
3121000022211220010101120020100
4123300310131000310132221
5112001010111133342301
61111404534052420013
734501405106364546
oct3360643500643651
9530284803346210
10122102112012201
11359a6240043122
121184025a317609
135319244c06029
142221ab9275bcd
15e1b251ea9286
hex6f0d1d0347a9

122102112012201 has 48 divisors (see below), whose sum is σ = 179120271432960. Its totient is φ = 80141987520000.

The previous prime is 122102112012163. The next prime is 122102112012263. The reversal of 122102112012201 is 102210211201221.

122102112012201 is a `hidden beast` number, since 1 + 2 + 210 + 211 + 20 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 122102112012201 - 210 = 122102112011177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122102112010201) 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, 149713761 + ... + 150527121.

It is an arithmetic number, because the mean of its divisors is an integer number (3731672321520).

Almost surely, 2122102112012201 is an apocalyptic number.

It is an amenable number.

122102112012201 is a deficient number, since it is larger than the sum of its proper divisors (57018159420759).

122102112012201 is a wasteful number, since it uses less digits than its factorization.

122102112012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814398 (or 814395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102112012201 its reverse (102210211201221), we get a palindrome (224312323213422).

It can be divided in two parts, 12210211201220 and 1, that added together give a palindrome (12210211201221).

The spelling of 122102112012201 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twelve million, twelve thousand, two hundred one".

Divisors: 1 3 9 101 239 303 691 717 909 2073 2151 6219 24139 69791 72417 165149 209373 217251 495447 628119 813361 1486341 2440083 7320249 16680049 50040147 82149461 150120441 194393279 246448383 562032451 583179837 739345149 1686097353 1749539511 5058292059 19633721179 56765277551 58901163537 134325755789 170295832653 176703490611 402977267367 510887497959 1208931802101 13566901334689 40700704004067 122102112012201