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122123133113332 = 22132676126720237
BaseRepresentation
bin11011110001001000000001…
…111101111101001111110100
3121000101212011010022010220111
4123301020001331331033310
5112001331134034111312
61111422332015512404
734503051040655641
oct3361100175751764
9530355133263814
10122123133113332
1135a0414799857a
1211844346228704
13531b214cc8500
142222b10ddcdc8
15e1ba826c38a7
hex6f1201f7d3f4

122123133113332 has 36 divisors (see below), whose sum is σ = 231453961425036. Its totient is φ = 56356184152320.

The previous prime is 122123133113329. The next prime is 122123133113389. The reversal of 122123133113332 is 233311331321221.

It can be written as a sum of positive squares in 6 ways, for example, as 19353699712656 + 102769433400676 = 4399284^2 + 10137526^2 .

It is a super-2 number, since 2×1221231331133322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122123133113294 and 122123133113303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8789683 + ... + 17930554.

It is an arithmetic number, because the mean of its divisors is an integer number (6429276706251).

Almost surely, 2122123133113332 is an apocalyptic number.

It is an amenable number.

122123133113332 is a deficient number, since it is larger than the sum of its proper divisors (109330828311704).

122123133113332 is a wasteful number, since it uses less digits than its factorization.

122123133113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26727028 (or 26727013 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

Adding to 122123133113332 its reverse (233311331321221), we get a palindrome (355434464434553).

The spelling of 122123133113332 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 52 169 338 676 6761 13522 27044 87893 175786 351572 1142609 2285218 4570436 26720237 53440474 106880948 347363081 694726162 1389452324 4515720053 9031440106 18062880212 180655522357 361311044714 722622089428 2348521790641 4697043581282 9394087162564 30530783278333 61061566556666 122123133113332