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120021220011 = 371129101179991
BaseRepresentation
bin110111111000111010…
…0100111101010101011
3102110210111002200212210
41233301310213222223
53431300413020021
6131045331140203
711446144352220
oct1576164475253
9373714080783
10120021220011
114699a939020
121b316a44663
13b419706ba4
145b480ab947
1531c6c97e76
hex1bf1d27aab

120021220011 has 128 divisors (see below), whose sum is σ = 209815142400. Its totient is φ = 59209920000.

The previous prime is 120021219979. The next prime is 120021220103. The reversal of 120021220011 is 110022120021.

It is not a de Polignac number, because 120021220011 - 25 = 120021219979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120021220211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121110726 + ... + 121111716.

It is an arithmetic number, because the mean of its divisors is an integer number (1639180800).

Almost surely, 2120021220011 is an apocalyptic number.

120021220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120021220011 is a deficient number, since it is larger than the sum of its proper divisors (89793922389).

120021220011 is a wasteful number, since it uses less digits than its factorization.

120021220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120021220011 its reverse (110022120021), we get a palindrome (230043340032).

The spelling of 120021220011 in words is "one hundred twenty billion, twenty-one million, two hundred twenty thousand, eleven".

Divisors: 1 3 7 11 21 29 33 77 87 101 179 203 231 303 319 537 609 707 957 991 1111 1253 1969 2121 2233 2929 2973 3333 3759 5191 5907 6699 6937 7777 8787 10901 13783 15573 18079 20503 20811 23331 28739 32219 32703 36337 41349 54237 57101 61509 76307 86217 96657 100091 109011 126553 171303 177389 198869 201173 225533 228921 300273 316129 379659 399707 524291 532167 596607 603519 676599 700637 948387 1101001 1199121 1241723 1392083 1572873 1951279 2101911 2212903 2902639 3303003 3670037 3725169 4176249 5144281 5767201 5853837 6638709 7707007 8707917 11010111 13658953 15432843 17301603 17916289 20318473 23121021 31929029 36009967 40370407 40976859 53748867 56587091 60955419 95787087 108029901 121111221 125414023 169761273 197079179 223503203 376242069 396109637 519572381 591237537 670509609 1188328911 1379554253 1558717143 3637006667 4138662759 5715296191 10911020001 17145888573 40007073337 120021220011