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121352024001 = 31317191967991
BaseRepresentation
bin111000100000100100…
…1001110111111000001
3102121020020020112202110
41301001021032333001
53442012104232001
6131425351005533
711524134120225
oct1610111167701
9377206215673
10121352024001
114751306582a
121b6286698a9
13b59c338a80
145c32b2a785
153253a203d6
hex1c4124efc1

121352024001 has 64 divisors (see below), whose sum is σ = 185844105216. Its totient is φ = 69774566400.

The previous prime is 121352023993. The next prime is 121352024029. The reversal of 121352024001 is 100420253121.

It is not a de Polignac number, because 121352024001 - 23 = 121352023993 is a prime.

It is a super-3 number, since 3×1213520240013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121352024041) 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 63 ways as a sum of consecutive naturals, for example, 122453616 + ... + 122454606.

It is an arithmetic number, because the mean of its divisors is an integer number (2903814144).

Almost surely, 2121352024001 is an apocalyptic number.

It is an amenable number.

121352024001 is a deficient number, since it is larger than the sum of its proper divisors (64492081215).

121352024001 is a wasteful number, since it uses less digits than its factorization.

121352024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 121352024001 its reverse (100420253121), we get a palindrome (221772277122).

The spelling of 121352024001 in words is "one hundred twenty-one billion, three hundred fifty-two million, twenty-four thousand, one".

Divisors: 1 3 13 17 39 51 191 221 573 663 967 991 2483 2901 2973 3247 7449 9741 12571 12883 16439 16847 37713 38649 42211 49317 50541 126633 184697 189281 213707 219011 554091 567843 641121 657033 958297 2401061 2460653 2874891 3139849 3217777 7203183 7381959 9419547 9653331 12457861 16291049 37373583 40818037 41831101 48873147 122454111 125493303 183034727 211783637 549104181 635350911 2379451451 3111590359 7138354353 9334771077 40450674667 121352024001