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2200123120272 = 2437112272622341
BaseRepresentation
bin100000000001000001100…
…011101001101010010000
321210022220100210200201120
4200001001203221222100
5242021323004322042
64402420030002240
7314645046650220
oct40010143515220
97708810720646
102200123120272
11779081165080
122b6494946380
1312c61723077c
14786b5060080
153c36c171dec
hex200418e9a90

2200123120272 has 160 divisors (see below), whose sum is σ = 7117329890304. Its totient is φ = 568942886400.

The previous prime is 2200123120271. The next prime is 2200123120339. The reversal of 2200123120272 is 2720213210022.

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

It is not an unprimeable number, because it can be changed into a prime (2200123120271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472179 + ... + 2150162.

Almost surely, 22200123120272 is an apocalyptic number.

2200123120272 is a gapful number since it is divisible by the number (22) 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 2200123120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558664945152).

2200123120272 is an abundant number, since it is smaller than the sum of its proper divisors (4917206770032).

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

2200123120272 is a wasteful number, since it uses less digits than its factorization.

2200123120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622597 (or 2622591 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 2200123120272 its reverse (2720213210022), we get a palindrome (4920336330294).

The spelling of 2200123120272 in words is "two trillion, two hundred billion, one hundred twenty-three million, one hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 227 231 264 308 336 454 462 528 616 681 908 924 1232 1362 1589 1816 1848 2497 2724 3178 3632 3696 4767 4994 5448 6356 7491 9534 9988 10896 12712 14982 17479 19068 19976 25424 29964 34958 38136 39952 52437 59928 69916 76272 104874 119856 139832 209748 279664 419496 838992 2622341 5244682 7867023 10489364 15734046 18356387 20978728 28845751 31468092 36712774 41957456 55069161 57691502 62936184 73425548 86537253 110138322 115383004 125872368 146851096 173074506 201920257 220276644 230766008 293702192 346149012 403840514 440553288 461532016 595271407 605760771 692298024 807681028 881106576 1190542814 1211521542 1384596048 1615362056 1785814221 2381085628 2423043084 3230724112 3571628442 4166899849 4762171256 4846086168 6547985477 7143256884 8333799698 9524342512 9692172336 12500699547 13095970954 14286513768 16667599396 19643956431 25001399094 26191941908 28573027536 33335198792 39287912862 45835898339 50002798188 52383883816 66670397584 78575825724 91671796678 100005596376 104767767632 137507695017 157151651448 183343593356 200011192752 275015390034 314303302896 366687186712 550030780068 733374373424 1100061560136 2200123120272