Search a number
-
+
123011213112 = 2335417715149
BaseRepresentation
bin111001010010000001…
…0100010011100111000
3102202111212022002100000
41302210002202130320
54003411332304422
6132302141113000
711613222026244
oct1624402423470
9382455262300
10123011213112
11481946940a7
121ba10258760
13b7a4cc6688
145d4d22b424
1532ee511cac
hex1ca40a2738

123011213112 has 96 divisors (see below), whose sum is σ = 345599982000. Its totient is φ = 40991215104.

The previous prime is 123011213089. The next prime is 123011213153. The reversal of 123011213112 is 211312110321.

123011213112 is a `hidden beast` number, since 1 + 230 + 1 + 121 + 311 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8112514 + ... + 8127662.

Almost surely, 2123011213112 is an apocalyptic number.

123011213112 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 123011213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172799991000).

123011213112 is an abundant number, since it is smaller than the sum of its proper divisors (222588768888).

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

123011213112 is a wasteful number, since it uses less digits than its factorization.

123011213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19347 (or 19331 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123011213112 its reverse (211312110321), we get a palindrome (334323323433).

The spelling of 123011213112 in words is "one hundred twenty-three billion, eleven million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 4177 8354 12531 15149 16708 25062 30298 33416 37593 45447 50124 60596 75186 90894 100248 112779 121192 136341 150372 181788 225558 272682 300744 338337 363576 409023 451116 545364 676674 818046 902232 1015011 1090728 1227069 1353348 1636092 2030022 2454138 2706696 3272184 3681207 4060044 4908276 7362414 8120088 9816552 14724828 29449656 63277373 126554746 189832119 253109492 379664238 506218984 569496357 759328476 1138992714 1518656952 1708489071 2277985428 3416978142 4555970856 5125467213 6833956284 10250934426 13667912568 15376401639 20501868852 30752803278 41003737704 61505606556 123011213112