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24220120122 = 23311216322741
BaseRepresentation
bin10110100011101000…
…011011010000111010
32022111221102120202000
4112203220123100322
5344100322320442
615043201121430
71515124424052
oct264350332072
968457376660
1024220120122
11a2a9698800
12483b329276
13238caa9633
14125a978562
1596b4c1d4c
hex5a3a1b43a

24220120122 has 96 divisors (see below), whose sum is σ = 59525820480. Its totient is φ = 7294082400.

The previous prime is 24220120081. The next prime is 24220120129. The reversal of 24220120122 is 22102102242.

24220120122 is a `hidden beast` number, since 2 + 422 + 0 + 120 + 122 = 666.

It is a super-2 number, since 2×242201201222 (a number of 22 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 = 24220120095 and 24220120104.

It is not an unprimeable number, because it can be changed into a prime (24220120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053672 + ... + 1076412.

It is an arithmetic number, because the mean of its divisors is an integer number (620060630).

Almost surely, 224220120122 is an apocalyptic number.

24220120122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24220120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762910240).

24220120122 is an abundant number, since it is smaller than the sum of its proper divisors (35305700358).

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

24220120122 is a wasteful number, since it uses less digits than its factorization.

24220120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22937 (or 22920 counting only the distinct ones).

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

Adding to 24220120122 its reverse (22102102242), we get a palindrome (46322222364).

The spelling of 24220120122 in words is "twenty-four billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 163 198 242 297 326 363 489 594 726 978 1089 1467 1793 2178 2934 3267 3586 4401 5379 6534 8802 10758 16137 19723 22741 32274 39446 45482 48411 59169 68223 96822 118338 136446 177507 204669 250151 355014 409338 500302 532521 614007 750453 1065042 1228014 1500906 2251359 2751661 3706783 4502718 5503322 6754077 7413566 8254983 11120349 13508154 16509966 22240698 24764949 33361047 40774613 49529898 66722094 74294847 81549226 100083141 122323839 148589694 200166282 244647678 366971517 448520743 733943034 897041486 1100914551 1345562229 2201829102 2691124458 4036686687 8073373374 12110060061 24220120122