Search a number
-
+
121011021012220 = 2251713916787152531
BaseRepresentation
bin11011100000111100010010…
…111010111101110011111100
3120212110112121010011220000021
4123200330102322331303330
5111330121032334342340
61105211410125541524
734326520624042153
oct3340742272756374
9525415533156007
10121011021012220
1135615538679769
12116a48b61148a4
13526a3a0a98c01
1421c4d7109659a
15decb9370be4a
hex6e0f12ebdcfc

121011021012220 has 96 divisors (see below), whose sum is σ = 271025251741440. Its totient is φ = 45226350597120.

The previous prime is 121011021012199. The next prime is 121011021012221. The reversal of 121011021012220 is 22210120110121.

It is a junction number, because it is equal to n+sod(n) for n = 121011021012194 and 121011021012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011021012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793277355 + ... + 793429885.

It is an arithmetic number, because the mean of its divisors is an integer number (2823179705640).

Almost surely, 2121011021012220 is an apocalyptic number.

121011021012220 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 121011021012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135512625870720).

121011021012220 is an abundant number, since it is smaller than the sum of its proper divisors (150014230729220).

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

121011021012220 is a wasteful number, since it uses less digits than its factorization.

121011021012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169483 (or 169481 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121011021012220 its reverse (22210120110121), we get a palindrome (143221141122341).

The spelling of 121011021012220 in words is "one hundred twenty-one trillion, eleven billion, twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 695 1390 2363 2780 4726 9452 11815 16787 23630 33574 47260 67148 83935 152531 167870 285379 305062 335740 570758 610124 762655 1141516 1426895 1525310 2333393 2593027 2853790 3050620 4666786 5186054 5707580 9333572 10372108 11666965 12965135 21201809 23333930 25930270 39667681 42403618 46667860 51860540 79335362 84807236 106009045 158670724 198338405 212018090 360430753 396676810 424036180 720861506 793353620 1441723012 1802153765 2560537897 3604307530 5121075794 7208615060 10242151588 12802689485 25605378970 43529144249 51210757940 87058288498 174116576996 217645721245 355914767683 435291442490 711829535366 870582884980 1423659070732 1779573838415 3559147676830 6050551050611 7118295353660 12101102101222 24202204202444 30252755253055 60505510506110 121011021012220