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202212222212121 = 3111710123711505191
BaseRepresentation
bin101101111110100100110011…
…101011001001100000011001
3222111222022002110000022002220
4231332210303223021200121
5203001021112341241441
61554023002405014253
760410231242002222
oct5576446353114031
9874868073008086
10202212222212121
11594817a3860190
121a81a1000b4389
1388aa6b903a4a4
1437d11a38d8249
15185a00d507466
hexb7e933ac9819

202212222212121 has 64 divisors (see below), whose sum is σ = 314644757686272. Its totient is φ = 114153609600000.

The previous prime is 202212222212113. The next prime is 202212222212137. The reversal of 202212222212121 is 121212222212202.

It is a happy number.

It is not a de Polignac number, because 202212222212121 - 23 = 202212222212113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202212222212091 and 202212222212100.

It is not an unprimeable number, because it can be changed into a prime (202212222212111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133590636 + ... + 135095826.

It is an arithmetic number, because the mean of its divisors is an integer number (4916324338848).

Almost surely, 2202212222212121 is an apocalyptic number.

It is an amenable number.

202212222212121 is a deficient number, since it is larger than the sum of its proper divisors (112432535474151).

202212222212121 is a wasteful number, since it uses less digits than its factorization.

202212222212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507694.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 202212222212121 its reverse (121212222212202), we get a palindrome (323424444424323).

The spelling of 202212222212121 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1717 2371 3333 5151 7113 18887 26081 40307 56661 78243 120921 239471 443377 718413 1330131 1505191 2634181 4071007 4515573 7902543 12213021 16557101 25588247 44781077 49671303 76764741 134343231 152024291 281470717 456072873 844412151 1672267201 2584412947 3568807861 5016801603 7753238841 10706423583 28428542417 39256886471 60669733637 85285627251 117770659413 182009200911 360449593961 667367070007 1081348781883 2002101210021 3964945533571 6127643097337 11894836600713 18382929292011 67404074070707 202212222212121