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200121220112 = 241129139311907
BaseRepresentation
bin1011101001100000100…
…1110111110000010000
3201010112210101022020012
42322120021313300100
511234322013020422
6231533500134052
720313122206262
oct2723011676020
9633483338205
10200121220112
1177964236710
1232950237328
1315b43482558
149986237b32
155313e1b4e2
hex2e98277c10

200121220112 has 160 divisors (see below), whose sum is σ = 442621670400. Its totient is φ = 86819443200.

The previous prime is 200121220111. The next prime is 200121220127. The reversal of 200121220112 is 211022121002.

It is not an unprimeable number, because it can be changed into a prime (200121220111) 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 31 ways as a sum of consecutive naturals, for example, 220640363 + ... + 220641269.

It is an arithmetic number, because the mean of its divisors is an integer number (2766385440).

Almost surely, 2200121220112 is an apocalyptic number.

200121220112 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 200121220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221310835200).

200121220112 is an abundant number, since it is smaller than the sum of its proper divisors (242500450288).

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

200121220112 is a wasteful number, since it uses less digits than its factorization.

200121220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200121220112 its reverse (211022121002), we get a palindrome (411143341114).

The spelling of 200121220112 in words is "two hundred billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 139 176 232 278 311 319 464 556 622 638 907 1112 1244 1276 1529 1814 2224 2488 2552 3058 3421 3628 4031 4976 5104 6116 6842 7256 8062 9019 9977 12232 13684 14512 16124 18038 19954 24464 26303 27368 32248 36076 39908 43229 44341 52606 54736 64496 72152 79816 86458 88682 99209 105212 126073 144304 159632 172916 177364 198418 210424 252146 282077 289333 345832 354728 396836 420848 475519 504292 564154 578666 691664 709456 793672 951038 1008584 1128308 1157332 1253641 1386803 1587344 1902076 2017168 2256616 2314664 2507282 2773606 3102847 3656117 3804152 4513232 4629328 5014564 5547212 6205694 7312234 7608304 8180233 10029128 11094424 12411388 13790051 14624468 16360466 20058256 22188848 24822776 27580102 29248936 32720932 39208703 40217287 49645552 55160204 58497872 65441864 78417406 80434574 89982563 110320408 130883728 156834812 160869148 179965126 220640816 313669624 321738296 359930252 431295733 627339248 643476592 719860504 862591466 1137052387 1439721008 1725182932 2274104774 3450365864 4548209548 6900731728 9096419096 12507576257 18192838192 25015152514 50030305028 100060610056 200121220112