Search a number
-
+
121022022012210 = 232511150091814469
BaseRepresentation
bin11011100001000110100010…
…101000011100110100110010
3120212111120222210111120222100
4123201012202220130310302
5111330311100113342320
61105220425511321230
734330360345021344
oct3341064250346462
9525446883446870
10121022022012210
113561a17342a8a0
12116a6a66380216
13526b434c83767
1421c56d6147294
15ded0d93e7790
hex6e11a2a1cd32

121022022012210 has 96 divisors (see below), whose sum is σ = 343265170921920. Its totient is φ = 29338440508800.

The previous prime is 121022022012209. The next prime is 121022022012223. The reversal of 121022022012210 is 12210220220121.

It is a happy number.

121022022012210 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 220 + 220 + 1 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148182856 + ... + 148997324.

It is an arithmetic number, because the mean of its divisors is an integer number (3575678863770).

Almost surely, 2121022022012210 is an apocalyptic number.

121022022012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121022022012210 is an abundant number, since it is smaller than the sum of its proper divisors (222243148909710).

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

121022022012210 is a wasteful number, since it uses less digits than its factorization.

121022022012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964584 (or 964581 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121022022012210 its reverse (12210220220121), we get a palindrome (133232242232331).

The spelling of 121022022012210 in words is "one hundred twenty-one trillion, twenty-two billion, twenty-two million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 150091 300182 450273 750455 814469 900546 1350819 1500910 1628938 1651001 2251365 2443407 2701638 3302002 4072345 4502730 4886814 4953003 6754095 7330221 8144690 8255005 8959159 9906006 12217035 13508190 14660442 14859009 16510010 17918318 24434070 24765015 26877477 29718018 36651105 44795795 49530030 53754954 73302210 74295045 80632431 89591590 134387385 148590090 161264862 268774770 403162155 806324310 122244466679 244488933358 366733400037 611222333395 733466800074 1100200200111 1222444666790 1344689133469 1833667000185 2200400400222 2689378266938 3667334000370 4034067400407 5501001000555 6723445667345 8068134800814 11002002001110 12102202201221 13446891334690 20170337002035 24204404402442 40340674004070 60511011006105 121022022012210