Search a number
-
+
120112322232 = 233714921122741
BaseRepresentation
bin110111111011101000…
…0001001011010111000
3102111000211112011122010
41233313100021122320
53431442223302412
6131102343525520
711451331615320
oct1576720113270
9374024464563
10120112322232
1146a37302511
121b3414598a0
13b432553726
145b56224280
1531cec9133c
hex1bf74096b8

120112322232 has 128 divisors (see below), whose sum is σ = 347133888000. Its totient is φ = 33924441600.

The previous prime is 120112322227. The next prime is 120112322233. The reversal of 120112322232 is 232223211021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120112322199 and 120112322208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112322233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5270382 + ... + 5293122.

It is an arithmetic number, because the mean of its divisors is an integer number (2711983500).

Almost surely, 2120112322232 is an apocalyptic number.

120112322232 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 120112322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173566944000).

120112322232 is an abundant number, since it is smaller than the sum of its proper divisors (227021565768).

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

120112322232 is a wasteful number, since it uses less digits than its factorization.

120112322232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 120112322232 its reverse (232223211021), we get a palindrome (352335533253).

The spelling of 120112322232 in words is "one hundred twenty billion, one hundred twelve million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 211 298 422 447 596 633 844 894 1043 1192 1266 1477 1688 1788 2086 2532 2954 3129 3576 4172 4431 5064 5908 6258 8344 8862 11816 12516 17724 22741 25032 31439 35448 45482 62878 68223 90964 94317 125756 136446 159187 181928 188634 220073 251512 272892 318374 377268 440146 477561 545784 636748 660219 754536 880292 955122 1273496 1320438 1760584 1910244 2640876 3388409 3820488 4798351 5281752 6776818 9596702 10165227 13553636 14395053 19193404 20330454 23718863 27107272 28790106 33588457 38386808 40660908 47437726 57580212 67176914 71156589 81321816 94875452 100765371 115160424 134353828 142313178 189750904 201530742 268707656 284626356 403061484 569252712 714954299 806122968 1429908598 2144862897 2859817196 4289725794 5004680093 5719634392 8579451588 10009360186 15014040279 17158903176 20018720372 30028080558 40037440744 60056161116 120112322232