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121021120000011 = 371159107151549587
BaseRepresentation
bin11011100001000101101100…
…110111100011000000001011
3120212111111122221012121212010
4123201011230313203000023
5111330302223210000021
61105220200210151003
734330326113032230
oct3341055467430013
9525444587177763
10121021120000011
1135619850253770
12116a6854282463
13526b32013422a
1421c564c425787
15ded08511e976
hex6e116cde300b

121021120000011 has 128 divisors (see below), whose sum is σ = 207867723448320. Its totient is φ = 60819385104000.

The previous prime is 121021119999977. The next prime is 121021120000057. The reversal of 121021120000011 is 110000021120121.

It is not a de Polignac number, because 121021120000011 - 218 = 121021119737867 is a prime.

It is a super-2 number, since 2×1210211200000112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121021120040011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219928960 + ... + 220478546.

It is an arithmetic number, because the mean of its divisors is an integer number (1623966589440).

Almost surely, 2121021120000011 is an apocalyptic number.

121021120000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121021120000011 is a deficient number, since it is larger than the sum of its proper divisors (86846603448309).

121021120000011 is a wasteful number, since it uses less digits than its factorization.

121021120000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549925.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121021120000011 its reverse (110000021120121), we get a palindrome (231021141120132).

The spelling of 121021120000011 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty million, eleven", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 59 77 107 151 177 231 321 413 453 649 749 1057 1177 1239 1661 1947 2247 3171 3531 4543 4983 6313 8239 8909 11627 13629 16157 18939 24717 26727 34881 44191 48471 62363 69443 97999 113099 132573 177727 187089 208329 293997 339297 486101 533181 549587 685993 953263 1244089 1458303 1648761 2057979 2859789 3732267 3847109 6045457 6672841 10485893 11541327 18136371 20018523 31457679 32425633 42318199 58805809 73401251 82987637 97276899 126954597 176417427 220203753 226979431 248962911 356681963 411640663 580913459 646863899 680938293 912864007 1070045889 1234921989 1742740377 1940591697 2496773741 2738592021 3469542731 4528047293 4896270583 6390048049 7490321223 8879677159 10408628193 13584141879 14688811749 19170144147 24286799117 26639031477 34273894081 38164970041 53858976413 62157740113 72860397351 97676448749 102821682243 114494910123 161576929239 186473220339 267154790287 293029346247 377012834891 523900952381 683735141243 801464370861 1131038504673 1571702857143 2051205423729 3667306666667 5762910476191 11001920000001 17288731428573 40340373333337 121021120000011