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123001234312 = 231131127355027
BaseRepresentation
bin111001010001101110…
…0011110001110001000
3102202111011112002222211
41302203130132032020
54003401303444222
6132301143154504
711613041145445
oct1624334361610
9382434462884
10123001234312
1148189a98960
121ba08a45a34
13b7a2c11668
145d4bb909cc
1532ed6e0277
hex1ca371e388

123001234312 has 64 divisors (see below), whose sum is σ = 261755043840. Its totient is φ = 53679931200.

The previous prime is 123001234283. The next prime is 123001234337. The reversal of 123001234312 is 213432100321.

It is a super-2 number, since 2×1230012343122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168943 + ... + 523969.

It is an arithmetic number, because the mean of its divisors is an integer number (4089922560).

Almost surely, 2123001234312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123001234312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130877521920).

123001234312 is an abundant number, since it is smaller than the sum of its proper divisors (138753809528).

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

123001234312 is a wasteful number, since it uses less digits than its factorization.

123001234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355202 (or 355198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123001234312 its reverse (213432100321), we get a palindrome (336433334633).

The spelling of 123001234312 in words is "one hundred twenty-three billion, one million, two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 127 248 254 341 508 682 1016 1364 1397 2728 2794 3937 5588 7874 11176 15748 31496 43307 86614 173228 346456 355027 710054 1420108 2840216 3905297 7810594 11005837 15621188 22011674 31242376 44023348 45088429 88046696 90176858 121064207 180353716 242128414 360707432 484256828 495972719 968513656 991945438 1397741299 1983890876 2795482598 3967781752 5590965196 11181930392 15375154289 30750308578 61500617156 123001234312