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121010001120 = 25325174943219
BaseRepresentation
bin111000010110011000…
…0100001010011100000
3102120100101122222120100
41300230300201103200
53440312030013440
6131331412142400
711512512016041
oct1605460412340
9376311588510
10121010001120
1147357a99998
121b552007a00
13b546516778
145bdd5388c8
1532339b0230
hex1c2cc214e0

121010001120 has 144 divisors (see below), whose sum is σ = 437237695440. Its totient is φ = 30371131392.

The previous prime is 121010001089. The next prime is 121010001121. The reversal of 121010001120 is 21100010121.

It is a happy number.

121010001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2447130 + ... + 2496089.

It is an arithmetic number, because the mean of its divisors is an integer number (3036372885).

Almost surely, 2121010001120 is an apocalyptic number.

121010001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121010001120 is an abundant number, since it is smaller than the sum of its proper divisors (316227694320).

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

121010001120 is a wasteful number, since it uses less digits than its factorization.

121010001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943257 (or 4943246 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121010001120 its reverse (21100010121), we get a palindrome (142110011241).

Subtracting from 121010001120 its reverse (21100010121), we obtain a palindrome (99909990999).

It can be divided in two parts, 121010001 and 120, that added together give a palindrome (121010121).

The spelling of 121010001120 in words is "one hundred twenty-one billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 4943219 9886438 14829657 19772876 24716095 29659314 39545752 44488971 49432190 59318628 74148285 79091504 84034723 88977942 98864380 118637256 148296570 158183008 168069446 177955884 197728760 222444855 237274512 252104169 296593140 336138892 355911768 395457520 420173615 444889710 474549024 504208338 593186280 672277784 711823536 756312507 790915040 840347230 889779420 1008416676 1186372560 1260520845 1344555568 1423647072 1512625014 1680694460 1779558840 2016833352 2372745120 2521041690 2689111136 3025250028 3361388920 3559117680 3781562535 4033666704 5042083380 6050500056 6722777840 7118235360 7563125070 8067333408 10084166760 12101000112 13445555680 15126250140 20168333520 24202000224 30252500280 40336667040 60505000560 121010001120