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12200030024 = 23713231674363
BaseRepresentation
bin10110101110010110…
…11010111101001000
31011111020111201221212
423113023122331020
5144441201430044
65334332552252
7611220354440
oct132713327510
934436451855
1012200030024
1151a0665146
122445922688
1311c572c6a0
1483a40b120
154b60d3a9e
hex2d72daf48

12200030024 has 128 divisors (see below), whose sum is σ = 29560688640. Its totient is φ = 4587846912.

The previous prime is 12200030023. The next prime is 12200030033. The reversal of 12200030024 is 42003000221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12200029990 and 12200030008.

It is not an unprimeable number, because it can be changed into a prime (12200030023) 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 31 ways as a sum of consecutive naturals, for example, 2794067 + ... + 2798429.

It is an arithmetic number, because the mean of its divisors is an integer number (230942880).

Almost surely, 212200030024 is an apocalyptic number.

12200030024 is a gapful number since it is divisible by the number (14) 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 12200030024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780344320).

12200030024 is an abundant number, since it is smaller than the sum of its proper divisors (17360658616).

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

12200030024 is a wasteful number, since it uses less digits than its factorization.

12200030024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12200030024 its reverse (42003000221), we get a palindrome (54203030245).

The spelling of 12200030024 in words is "twelve billion, two hundred million, thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 167 182 184 299 322 334 364 598 644 668 728 1169 1196 1288 1336 2093 2171 2338 2392 3841 4186 4342 4363 4676 7682 8372 8684 8726 9352 15197 15364 16744 17368 17452 26887 30394 30541 30728 34904 49933 53774 56719 60788 61082 99866 100349 107548 113438 121576 122164 199732 200698 215096 226876 244328 349531 397033 399464 401396 453752 699062 702443 728621 794066 802792 1304537 1398124 1404886 1457242 1588132 2609074 2796248 2809772 2914484 3176264 5100347 5218148 5619544 5828968 9131759 9472073 10200694 10436296 16758283 18263518 18944146 20401388 33516566 36527036 37888292 40802776 66304511 67033132 73054072 75776584 117307981 132609022 134066264 217857679 234615962 265218044 435715358 469231924 530436088 871430716 938463848 1525003753 1742861432 3050007506 6100015012 12200030024