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122000134212 = 223211279735141
BaseRepresentation
bin111000110011111000…
…1100101000001000100
3102122220101202221211100
41301213301211001010
53444324013243322
6132013542140100
711546164013325
oct1614761450104
9378811687740
10122000134212
1147815993600
121b789721630
13b6736aa838
145c94c3844c
153290892dac
hex1c67c65044

122000134212 has 108 divisors (see below), whose sum is σ = 339408253548. Its totient is φ = 36922300800.

The previous prime is 122000134181. The next prime is 122000134213. The reversal of 122000134212 is 212431000221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54927421956 + 67072712256 = 234366^2 + 258984^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122000134213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3454162 + ... + 3489302.

Almost surely, 2122000134212 is an apocalyptic number.

122000134212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169704126774).

122000134212 is an abundant number, since it is smaller than the sum of its proper divisors (217408119336).

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

122000134212 is a wasteful number, since it uses less digits than its factorization.

122000134212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35970 (or 35954 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122000134212 its reverse (212431000221), we get a palindrome (334431134433).

The spelling of 122000134212 in words is "one hundred twenty-two billion, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 797 1089 1452 1594 2178 2391 3188 4356 4782 7173 8767 9564 14346 17534 26301 28692 35068 35141 52602 70282 78903 96437 105204 105423 140564 157806 192874 210846 289311 315612 316269 385748 386551 421692 578622 632538 773102 867933 1157244 1159653 1265076 1546204 1735866 2319306 3471732 3478959 4252061 4638612 6957918 8504122 12756183 13915836 17008244 25512366 28007377 38268549 51024732 56014754 76537098 84022131 112029508 153074196 168044262 252066393 308081147 336088524 504132786 616162294 924243441 1008265572 1232324588 1848486882 2772730323 3388892617 3696973764 5545460646 6777785234 10166677851 11090921292 13555570468 20333355702 30500033553 40666711404 61000067106 122000134212