Search a number
-
+
12122002220202 = 2327826911634583
BaseRepresentation
bin1011000001100101111110…
…1000101110010010101010
31120220212000011210001001200
42300121133220232102222
53042101330032021302
641440434305025030
72360533341534420
oct260313750562252
946825004701050
1012122002220202
113953a04262666
1214393aa025176
1369c13b64aa24
142dc9cabdb110
151604c3a7681c
hexb065fa2e4aa

12122002220202 has 48 divisors (see below), whose sum is σ = 30020019020160. Its totient is φ = 3463010063136.

The previous prime is 12122002220197. The next prime is 12122002220221. The reversal of 12122002220202 is 20202220022121.

12122002220202 is a `hidden beast` number, since 1 + 21 + 220 + 0 + 2 + 220 + 202 = 666.

12122002220202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4775398 + ... + 6859185.

It is an arithmetic number, because the mean of its divisors is an integer number (625417062920).

Almost surely, 212122002220202 is an apocalyptic number.

12122002220202 is an abundant number, since it is smaller than the sum of its proper divisors (17898016799958).

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

12122002220202 is a wasteful number, since it uses less digits than its factorization.

12122002220202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11642867 (or 11642864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12122002220202 its reverse (20202220022121), we get a palindrome (32324222242323).

The spelling of 12122002220202 in words is "twelve trillion, one hundred twenty-two billion, two million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 8269 16538 24807 49614 57883 74421 115766 148842 173649 347298 520947 1041894 11634583 23269166 34903749 69807498 81442081 104711247 162884162 209422494 244326243 488652486 732978729 1465957458 96206366827 192412733654 288619100481 577238200962 673444567789 865857301443 1346889135578 1731714602886 2020333703367 4040667406734 6061001110101 12122002220202