Search a number
-
+
122110012212 = 2231931137312583
BaseRepresentation
bin111000110111001010…
…0101110101100110100
3102200012001112100002220
41301232110232230310
54000040130342322
6132032505202340
711551666656336
oct1615624565464
9380161470086
10122110012212
1147871a11571
121b7ba4903b0
13b69039c4c6
145ca567b456
15329a34955c
hex1c6e52eb34

122110012212 has 96 divisors (see below), whose sum is σ = 309844254720. Its totient is φ = 37287008640.

The previous prime is 122110012187. The next prime is 122110012223. The reversal of 122110012212 is 212210011221.

It is a junction number, because it is equal to n+sod(n) for n = 122110012191 and 122110012200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9698073 + ... + 9710655.

It is an arithmetic number, because the mean of its divisors is an integer number (3227544320).

Almost surely, 2122110012212 is an apocalyptic number.

122110012212 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 122110012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154922127360).

122110012212 is an abundant number, since it is smaller than the sum of its proper divisors (187734242508).

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

122110012212 is a wasteful number, since it uses less digits than its factorization.

122110012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14013 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122110012212 its reverse (212210011221), we get a palindrome (334320023433).

Subtracting 122110012212 from its reverse (212210011221), we obtain a palindrome (90099999009).

The spelling of 122110012212 in words is "one hundred twenty-two billion, one hundred ten million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1373 1767 2356 2746 3534 4119 5492 7068 8238 12583 16476 25166 26087 37749 42563 50332 52174 75498 78261 85126 104348 127689 150996 156522 170252 239077 255378 313044 390073 478154 510756 717231 780146 808697 956308 1170219 1434462 1560292 1617394 2340438 2426091 2868924 3234788 4680876 4852182 7411387 9704364 14822774 17276459 22234161 29645548 34552918 44468322 51829377 69105836 88936644 103658754 207317508 328252721 535570229 656505442 984758163 1071140458 1313010884 1606710687 1969516326 2142280916 3213421374 3939032652 6426842748 10175834351 20351668702 30527503053 40703337404 61055006106 122110012212