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124122143112 = 233111750354983
BaseRepresentation
bin111001110011001000…
…0011001100110001000
3102212101021201011210120
41303212100121212020
54013200232034422
6133004304143240
711652601544232
oct1634620314610
9385337634716
10124122143112
1148704794270
1220080307b20
13b9212032c6
1460169b3252
153366d0645c
hex1ce6419988

124122143112 has 128 divisors (see below), whose sum is σ = 359146690560. Its totient is φ = 35329233920.

The previous prime is 124122143107. The next prime is 124122143177. The reversal of 124122143112 is 211341221421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 2229973 + ... + 2284955.

It is an arithmetic number, because the mean of its divisors is an integer number (2805833520).

Almost surely, 2124122143112 is an apocalyptic number.

124122143112 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 124122143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179573345280).

124122143112 is an abundant number, since it is smaller than the sum of its proper divisors (235024547448).

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

124122143112 is a wasteful number, since it uses less digits than its factorization.

124122143112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55523 (or 55519 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 124122143112 its reverse (211341221421), we get a palindrome (335463364533).

The spelling of 124122143112 in words is "one hundred twenty-four billion, one hundred twenty-two million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 503 561 748 1006 1122 1496 1509 2012 2244 3018 4024 4488 5533 6036 8551 11066 12072 16599 17102 22132 25653 33198 34204 44264 51306 54983 66396 68408 94061 102612 109966 132792 164949 188122 205224 219932 282183 329898 376244 439864 564366 604813 659796 752488 934711 1128732 1209626 1319592 1814439 1869422 2257464 2419252 2804133 3628878 3738844 4838504 5608266 7257756 7477688 10281821 11216532 14515512 20563642 22433064 27656449 30845463 41127284 55312898 61690926 82254568 82969347 110625796 123381852 165938694 221251592 246763704 304220939 331877388 470159633 608441878 663754776 912662817 940319266 1216883756 1410478899 1825325634 1880638532 2433767512 2820957798 3650651268 3761277064 5171755963 5641915596 7301302536 10343511926 11283831192 15515267889 20687023852 31030535778 41374047704 62061071556 124122143112