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124220020122 = 23311793537499
BaseRepresentation
bin111001110110000010…
…1110001010110011010
3102212122002212211211000
41303230011301112122
54013400311120442
6133022122045430
711655200515032
oct1635405612632
9385562784730
10124220020122
1148754a65760
12200a9049876
13b9385826b3
1460259b08c2
1533706dbd4c
hex1cec17159a

124220020122 has 128 divisors (see below), whose sum is σ = 305856000000. Its totient is φ = 37055715840.

The previous prime is 124220020087. The next prime is 124220020129. The reversal of 124220020122 is 221020022421.

124220020122 is a `hidden beast` number, since 1 + 242 + 200 + 201 + 22 = 666.

It is a super-2 number, since 2×1242200201222 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 124220020095 and 124220020104.

It is not an unprimeable number, because it can be changed into a prime (124220020129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16561129 + ... + 16568627.

It is an arithmetic number, because the mean of its divisors is an integer number (2389500000).

Almost surely, 2124220020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124220020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152928000000).

124220020122 is an abundant number, since it is smaller than the sum of its proper divisors (181635979878).

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

124220020122 is a wasteful number, since it uses less digits than its factorization.

124220020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 124220020122 its reverse (221020022421), we get a palindrome (345240042543).

The spelling of 124220020122 in words is "one hundred twenty-four billion, two hundred twenty million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 353 474 594 706 711 869 1059 1422 1738 2118 2133 2607 3177 3883 4266 5214 6354 7499 7766 7821 9531 11649 14998 15642 19062 22497 23298 23463 27887 34947 44994 46926 55774 67491 69894 82489 83661 104841 134982 164978 167322 202473 209682 247467 250983 306757 404946 494934 501966 592421 613514 742401 752949 920271 1184842 1484802 1505898 1777263 1840542 2227203 2647147 2760813 3554526 4454406 5294294 5331789 5521626 6516631 7941441 8282439 10663578 13033262 15882882 15995367 16564878 19549893 23824323 29118617 31990734 39099786 47648646 58237234 58649679 71472969 87355851 117299358 142945938 174711702 175949037 209124613 262067553 351898074 418249226 524135106 627373839 786202659 1254747678 1572405318 1882121517 2300370743 3764243034 4600741486 5646364551 6901112229 11292729102 13802224458 20703336687 41406673374 62110010061 124220020122