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212001121210122 = 232233740933838631
BaseRepresentation
bin110000001101000001011011…
…100001011000111100001010
31000210122002221122110112111200
4300031001123201120330022
5210241411244012210442
62030515545351005030
762440401262422306
oct6015013341307412
91023562848415450
10212001121210122
1161606197079992
121b93b2a2669776
13913a80a0475ba
143a4cca24a2d06
15197998063534c
hexc0d05b858f0a

212001121210122 has 96 divisors (see below), whose sum is σ = 493464709820160. Its totient is φ = 65606877262080.

The previous prime is 212001121210111. The next prime is 212001121210139. The reversal of 212001121210122 is 221012121100212.

212001121210122 is a `hidden beast` number, since 21 + 200 + 112 + 1 + 210 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212001121210095 and 212001121210104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10654254 + ... + 23184377.

It is an arithmetic number, because the mean of its divisors is an integer number (5140257393960).

Almost surely, 2212001121210122 is an apocalyptic number.

212001121210122 is an abundant number, since it is smaller than the sum of its proper divisors (281463588610038).

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

212001121210122 is a wasteful number, since it uses less digits than its factorization.

212001121210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33839108 (or 33839105 counting only the distinct ones).

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

Adding to 212001121210122 its reverse (221012121100212), we get a palindrome (433013242310334).

The spelling of 212001121210122 in words is "two hundred twelve trillion, one billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 409 414 666 818 851 1227 1702 2454 2553 3681 5106 7362 7659 9407 15133 15318 18814 28221 30266 45399 56442 84663 90798 136197 169326 272394 348059 696118 1044177 2088354 3132531 6265062 33838631 67677262 101515893 203031786 304547679 609095358 778288513 1252029347 1556577026 2334865539 2504058694 3756088041 4669731078 7004596617 7512176082 11268264123 13840000079 14009193234 22536528246 27680000158 28796674981 41520000237 57593349962 83040000474 86390024943 124560000711 172780049886 249120001422 259170074829 318320001817 512080002923 518340149658 636640003634 954960005451 1024160005846 1536240008769 1909920010902 2864880016353 3072480017538 4608720026307 5729760032706 9217440052614 11777840067229 23555680134458 35333520201687 70667040403374 106000560605061 212001121210122