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121011013420 = 225112795771097
BaseRepresentation
bin111000010110011010…
…0011000011100101100
3102120100110120102011221
41300230310120130230
53440312304412140
6131331445553124
711512523433253
oct1605464303454
9376313512157
10121011013420
1147358620500
121b5524157a4
13b5467ac46b
145bdd71d79a
153233b1014a
hex1c2cd1872c

121011013420 has 144 divisors (see below), whose sum is σ = 283609710720. Its totient is φ = 43332157440.

The previous prime is 121011013381. The next prime is 121011013421. The reversal of 121011013420 is 24310110121.

It is a junction number, because it is equal to n+sod(n) for n = 121011013394 and 121011013403.

It is not an unprimeable number, because it can be changed into a prime (121011013421) 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 47 ways as a sum of consecutive naturals, for example, 110310312 + ... + 110311408.

It is an arithmetic number, because the mean of its divisors is an integer number (1969511880).

Almost surely, 2121011013420 is an apocalyptic number.

121011013420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121011013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141804855360).

121011013420 is an abundant number, since it is smaller than the sum of its proper divisors (162598697300).

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

121011013420 is a wasteful number, since it uses less digits than its factorization.

121011013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121011013420 its reverse (24310110121), we get a palindrome (145321123541).

The spelling of 121011013420 in words is "one hundred twenty-one billion, eleven million, thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 121 158 220 242 316 395 484 577 605 790 869 1097 1154 1210 1580 1738 2194 2308 2420 2885 3476 4345 4388 5485 5770 6347 8690 9559 10970 11540 12067 12694 17380 19118 21940 24134 25388 31735 38236 45583 47795 48268 60335 63470 69817 86663 91166 95590 120670 126940 132737 139634 173326 182332 191180 227915 241340 265474 279268 346652 349085 433315 455830 501413 530948 632969 663685 698170 866630 911660 953293 1002826 1265938 1327370 1396340 1733260 1906586 2005652 2507065 2531876 2654740 3164845 3813172 4766465 5014130 5515543 6329690 6962659 9532930 10028260 10486223 11031086 12659380 13925318 19065860 20972446 22062172 27577715 27850636 34813295 41944892 50004551 52431115 55155430 69626590 76589249 100009102 104862230 110310860 139253180 153178498 200018204 209724460 250022755 306356996 382946245 500045510 550050061 765892490 1000091020 1100100122 1531784980 2200200244 2750250305 5500500610 6050550671 11001001220 12101101342 24202202684 30252753355 60505506710 121011013420