Search a number
-
+
122112121112022 = 23171924770559183
BaseRepresentation
bin11011110000111101110001…
…100110100000010111010110
3121000100210201200021111222010
4123300331301212200113112
5112001141111001041042
61111413311202245050
734502211124336566
oct3360756146402726
9530323650244863
10122112121112022
11359aa506a02a48
1211842192356786
13531a17b75b3c2
1422223886c6da6
15e1b63aa6359c
hex6f0f719a05d6

122112121112022 has 96 divisors (see below), whose sum is σ = 278723453110272. Its totient is φ = 35521185639168.

The previous prime is 122112121112011. The next prime is 122112121112119. The reversal of 122112121112022 is 220211121211221.

It is a super-2 number, since 2×1221121211120222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112121112022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33548958 + ... + 37010225.

It is an arithmetic number, because the mean of its divisors is an integer number (2903369303232).

Almost surely, 2122112121112022 is an apocalyptic number.

122112121112022 is an abundant number, since it is smaller than the sum of its proper divisors (156611331998250).

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

122112121112022 is a wasteful number, since it uses less digits than its factorization.

122112121112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70559290 (or 70559271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122112121112022 its reverse (220211121211221), we get a palindrome (342323242323243).

The spelling of 122112121112022 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 17 19 34 38 47 51 57 94 102 114 141 282 323 361 646 722 799 893 969 1083 1598 1786 1938 2166 2397 2679 4794 5358 6137 12274 15181 16967 18411 30362 33934 36822 45543 50901 91086 101802 288439 576878 865317 1730634 70559183 141118366 211677549 423355098 1199506111 1340624477 2399012222 2681248954 3316281601 3598518333 4021873431 6632563202 7197036666 8043746862 9948844803 19897689606 22790616109 25471865063 45581232218 50943730126 56376787217 63009350419 68371848327 76415595189 112753574434 126018700838 136743696654 152831190378 169130361651 189028051257 338260723302 378056102514 433021706071 866043412142 1071158957123 1197177657961 1299065118213 2142317914246 2394355315922 2598130236426 3213476871369 3591532973883 6426953742738 7183065947766 20352020185337 40704040370674 61056060556011 122112121112022