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12210120322232 = 2371724571650889
BaseRepresentation
bin1011000110101110001111…
…1000100110110010111000
31121020021110021112102111012
42301223203320212302320
53100022311300302412
641545130221453052
72400103110204110
oct261534370466270
947207407472435
1012210120322232
113988312671978
1214524a0711188
136a75426069c1
14302d89bc4040
1516292eabdc22
hexb1ae3e26cb8

12210120322232 has 96 divisors (see below), whose sum is σ = 27855004720800. Its totient is φ = 4914310569984.

The previous prime is 12210120322177. The next prime is 12210120322241. The reversal of 12210120322232 is 23222302101221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12210120322198 and 12210120322207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6570644 + ... + 8221532.

It is an arithmetic number, because the mean of its divisors is an integer number (290156299175).

Almost surely, 212210120322232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210120322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927502360400).

12210120322232 is an abundant number, since it is smaller than the sum of its proper divisors (15644884398568).

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

12210120322232 is a wasteful number, since it uses less digits than its factorization.

12210120322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651393 (or 1651372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12210120322232 its reverse (23222302101221), we get a palindrome (35432422423453).

The spelling of 12210120322232 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 457 476 578 914 952 1156 1828 2023 2312 3199 3656 4046 6398 7769 8092 12796 15538 16184 25592 31076 54383 62152 108766 132073 217532 264146 435064 528292 924511 1056584 1650889 1849022 3301778 3698044 6603556 7396088 11556223 13207112 23112446 28065113 46224892 56130226 92449784 112260452 196455791 224520904 392911582 477106921 754456273 785823164 954213842 1508912546 1571646328 1908427684 3017825092 3339748447 3816855368 5281193911 6035650184 6679496894 10562387822 12825756641 13358993788 21124775644 25651513282 26717987576 42249551288 51303026564 89780296487 102606053128 179560592974 218037862897 359121185948 436075725794 718242371896 872151451588 1526265040279 1744302903176 3052530080558 6105060161116 12210120322232