Search a number
-
+
121342233012 = 223711213918341
BaseRepresentation
bin111000100000010001…
…1111000100110110100
3102121012112211010001020
41301000203320212310
53442002102424022
6131424401101140
711523654651120
oct1610043704664
9377175733036
10121342233012
1147508588700
121b6253277b0
13b59a2bb3a0
145c316dc580
153252c3935c
hex1c408f89b4

121342233012 has 144 divisors (see below), whose sum is σ = 383029428096. Its totient is φ = 29093011200.

The previous prime is 121342232993. The next prime is 121342233013. The reversal of 121342233012 is 210332243121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121342233013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327039 + ... + 591302.

It is an arithmetic number, because the mean of its divisors is an integer number (2659926584).

Almost surely, 2121342233012 is an apocalyptic number.

121342233012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121342233012 is an abundant number, since it is smaller than the sum of its proper divisors (261687195084).

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

121342233012 is a wasteful number, since it uses less digits than its factorization.

121342233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918390 (or 918377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121342233012 its reverse (210332243121), we get a palindrome (331674476133).

The spelling of 121342233012 in words is "one hundred twenty-one billion, three hundred forty-two million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 121 132 143 154 156 182 231 242 273 286 308 363 364 429 462 484 546 572 726 847 858 924 1001 1092 1452 1573 1694 1716 2002 2541 3003 3146 3388 4004 4719 5082 6006 6292 9438 10164 11011 12012 18876 22022 33033 44044 66066 132132 918341 1836682 2755023 3673364 5510046 6428387 10101751 11020092 11938433 12856774 19285161 20203502 23876866 25713548 30305253 35815299 38570322 40407004 47753732 60610506 70712257 71630598 77140644 83569031 111119261 121221012 131322763 141424514 143261196 167138062 212136771 222238522 250707093 262645526 282849028 333357783 334276124 393968289 424273542 444477044 501414186 525291052 666715566 777834827 787936578 848547084 919259341 1002828372 1333431132 1444550393 1555669654 1575873156 1838518682 2333504481 2757778023 2889100786 3111339308 3677037364 4333651179 4667008962 5515556046 5778201572 8667302358 9334017924 10111852751 11031112092 17334604716 20223705502 30335558253 40447411004 60671116506 121342233012