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122331111320 = 23511279319937
BaseRepresentation
bin111000111101110000…
…0001001111110011000
3102200202110120100001202
41301323200021332120
54001013231030240
6132110444133332
711560323201215
oct1617340117630
9380673510052
10122331111320
11479757a5600
121b860537248
13b6c7133292
145cc6b92b0c
1532ae970315
hex1c7b809f98

122331111320 has 96 divisors (see below), whose sum is σ = 306372628800. Its totient is φ = 43920814080.

The previous prime is 122331111299. The next prime is 122331111337. The reversal of 122331111320 is 23111133221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122331111292 and 122331111301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222392 + ... + 542328.

It is an arithmetic number, because the mean of its divisors is an integer number (3191381550).

Almost surely, 2122331111320 is an apocalyptic number.

122331111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153186314400).

122331111320 is an abundant number, since it is smaller than the sum of its proper divisors (184041517480).

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

122331111320 is a wasteful number, since it uses less digits than its factorization.

122331111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320049 (or 320034 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122331111320 its reverse (23111133221), we get a palindrome (145442244541).

It can be divided in two parts, 12 and 2331111320, that added together give a palindrome (2331111332).

The spelling of 122331111320 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 121 158 220 242 316 395 440 484 605 632 790 869 968 1210 1580 1738 2420 3160 3476 4345 4840 6952 8690 9559 17380 19118 34760 38236 47795 76472 95590 191180 319937 382360 639874 1279748 1599685 2559496 3199370 3519307 6398740 7038614 12797480 14077228 17596535 25275023 28154456 35193070 38712377 50550046 70386140 77424754 101100092 126375115 140772280 154849508 193561885 202200184 252750230 278025253 309699016 387123770 505500460 556050506 774247540 1011000920 1112101012 1390126265 1548495080 2224202024 2780252530 3058277783 5560505060 6116555566 11121010120 12233111132 15291388915 24466222264 30582777830 61165555660 122331111320