Search a number
-
+
122212112120202 = 23134014009997441
BaseRepresentation
bin11011110010011010111001…
…100001111011100110001010
3121000201100211020000000202110
4123302122321201323212022
5112004310401200321302
61111531245204443150
734512351032025066
oct3362327141734612
9530640736000673
10122212112120202
1135a38958257395
12118596390a94b6
135326725440130
142227152486aa6
15e1e03e0c3b6c
hex6f26b987b98a

122212112120202 has 64 divisors (see below), whose sum is σ = 263891800771200. Its totient is φ = 37508631552000.

The previous prime is 122212112120183. The next prime is 122212112120221. The reversal of 122212112120202 is 202021211212221.

It is an interprime number because it is at equal distance from previous prime (122212112120183) and next prime (122212112120221).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254167802 + ... + 1254265242.

It is an arithmetic number, because the mean of its divisors is an integer number (4123309387050).

Almost surely, 2122212112120202 is an apocalyptic number.

122212112120202 is an abundant number, since it is smaller than the sum of its proper divisors (141679688650998).

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

122212112120202 is a wasteful number, since it uses less digits than its factorization.

122212112120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137959.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122212112120202 its reverse (202021211212221), we get a palindrome (324233323332423).

The spelling of 122212112120202 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 78 401 802 1203 2406 5213 10426 15639 31278 40099 80198 97441 120297 194882 240594 292323 521287 584646 1042574 1266733 1563861 2533466 3127722 3800199 7600398 16079699 32159398 39073841 48239097 78147682 96478194 117221523 209036087 234443046 418072174 507959933 627108261 1015919866 1254216522 1523879799 3047759598 3907286659 7814573318 11721859977 23443719954 50794726567 101589453134 152384179701 304768359402 1566821950259 3133643900518 4700465850777 9400931701554 20368685353367 40737370706734 61106056060101 122212112120202