Search a number
-
+
121221321123222 = 23253281452193503
BaseRepresentation
bin11011100100000000001001…
…110010001110010110010110
3120220012122102021221102112100
4123210000021302032112112
5111342042231201420342
61105452150043102530
734350644225352255
oct3344001162162626
9526178367842470
10121221321123222
11356967455a47a1
1211719607211a46
135284177011a08
1421d12010dc79c
15e033a1070e4c
hex6e4009c8e596

121221321123222 has 48 divisors (see below), whose sum is σ = 268554104477568. Its totient is φ = 39503624334720.

The previous prime is 121221321123179. The next prime is 121221321123223. The reversal of 121221321123222 is 222321123122121.

121221321123222 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 1 + 321 + 12 + 322 + 2 = 666.

It is a super-2 number, since 2×1212213211232222 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221321123223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225828678 + ... + 226364825.

It is an arithmetic number, because the mean of its divisors is an integer number (5594877176616).

Almost surely, 2121221321123222 is an apocalyptic number.

121221321123222 is an abundant number, since it is smaller than the sum of its proper divisors (147332783354346).

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

121221321123222 is a wasteful number, since it uses less digits than its factorization.

121221321123222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452193845 (or 452193842 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 121221321123222 its reverse (222321123122121), we get a palindrome (343542444245343).

The spelling of 121221321123222 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 281 318 477 562 843 954 1686 2529 5058 14893 29786 44679 89358 134037 268074 452193503 904387006 1356580509 2713161018 4069741527 8139483054 23966255659 47932511318 71898766977 127066374343 143797533954 215696300931 254132748686 381199123029 431392601862 762398246058 1143597369087 2287194738174 6734517840179 13469035680358 20203553520537 40407107041074 60610660561611 121221321123222