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121034301201 = 321121915673733
BaseRepresentation
bin111000010111000110…
…1001101111100010001
3102120102002101120000100
41300232031031330101
53440334240114301
6131334041043013
711513225404542
oct1605615157421
9376362346010
10121034301201
114736a786a00
121b55a186469
13b54b574208
145c028624c9
153235bb0286
hex1c2e34df11

121034301201 has 72 divisors (see below), whose sum is σ = 202462856960. Its totient is φ = 69430426560.

The previous prime is 121034301181. The next prime is 121034301211. The reversal of 121034301201 is 102103430121.

121034301201 is a `hidden beast` number, since 1 + 210 + 3 + 430 + 1 + 20 + 1 = 666.

It is not a de Polignac number, because 121034301201 - 214 = 121034284817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121034301211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32420931 + ... + 32424663.

Almost surely, 2121034301201 is an apocalyptic number.

121034301201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121034301201 is a deficient number, since it is larger than the sum of its proper divisors (81428555759).

121034301201 is a wasteful number, since it uses less digits than its factorization.

121034301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121034301201 its reverse (102103430121), we get a palindrome (223137731322).

It can be divided in two parts, 12103430120 and 1, that added together give a palindrome (12103430121).

The spelling of 121034301201 in words is "one hundred twenty-one billion, thirty-four million, three hundred one thousand, two hundred one".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1567 1881 2299 3733 4701 6897 11199 14103 17237 20691 29773 33597 41063 51711 70927 89319 123189 155133 189607 212781 267957 327503 369567 451693 568821 638343 780197 982509 1355079 1706463 2340591 2947527 3602533 4065237 5849611 7021773 8582167 10807599 17548833 25746501 32422797 52646499 64345721 77239503 111142609 193037163 333427827 579111489 707802931 1000283481 1222568699 2123408793 3667706097 6370226379 11003118291 13448255689 40344767067 121034301201