Search a number
-
+
12102121210122 = 233313716017111
BaseRepresentation
bin1011000000011011111010…
…1000101100000100001010
31120211221200122011002022000
42300012332220230010022
53041240121012210442
641423345430011430
72356230562664046
oct260067650540412
946757618132260
1012102121210122
113946531a15519
12143557baa6b76
1369a2c0805338
142dba6264b026
1515ec0d4b1d4c
hexb01bea2c10a

12102121210122 has 32 divisors (see below), whose sum is σ = 26979524780160. Its totient is φ = 4021152089760.

The previous prime is 12102121210103. The next prime is 12102121210129. The reversal of 12102121210122 is 22101212120121.

12102121210122 is a `hidden beast` number, since 1 + 210 + 2 + 121 + 210 + 122 = 666.

It is a super-2 number, since 2×121021212101222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12102121210095 and 12102121210104.

It is not an unprimeable number, because it can be changed into a prime (12102121210129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357991654 + ... + 358025457.

It is an arithmetic number, because the mean of its divisors is an integer number (843110149380).

Almost surely, 212102121210122 is an apocalyptic number.

12102121210122 is an abundant number, since it is smaller than the sum of its proper divisors (14877403570038).

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

12102121210122 is a wasteful number, since it uses less digits than its factorization.

12102121210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716017435 (or 716017429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12102121210122 its reverse (22101212120121), we get a palindrome (34203333330243).

Subtracting 12102121210122 from its reverse (22101212120121), we obtain a palindrome (9999090909999).

The spelling of 12102121210122 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 313 626 939 1878 2817 5634 8451 16902 716017111 1432034222 2148051333 4296102666 6444153999 12888307998 19332461997 38664923994 224113355743 448226711486 672340067229 1344680134458 2017020201687 4034040403374 6051060605061 12102121210122