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123020233122 = 23435397137677
BaseRepresentation
bin111001010010010010…
…0111100100110100010
3102202112111021100110110
41302210210330212202
54003421134424442
6132303102312150
711613361504533
oct1624444744642
9382474240413
10123020233122
1148199794a56
121ba13288656
13b7a6b34167
145d504d868a
1533001e469c
hex1ca493c9a2

123020233122 has 128 divisors (see below), whose sum is σ = 261434283264. Its totient is φ = 38551339008.

The previous prime is 123020233103. The next prime is 123020233177. The reversal of 123020233122 is 221332020321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181713448 + ... + 181714124.

It is an arithmetic number, because the mean of its divisors is an integer number (2042455338).

Almost surely, 2123020233122 is an apocalyptic number.

123020233122 is an abundant number, since it is smaller than the sum of its proper divisors (138414050142).

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

123020233122 is a wasteful number, since it uses less digits than its factorization.

123020233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123020233122 its reverse (221332020321), we get a palindrome (344352253443).

The spelling of 123020233122 in words is "one hundred twenty-three billion, twenty million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 43 53 86 97 106 129 137 159 194 258 274 291 318 411 582 677 822 1354 2031 2279 4062 4171 4558 5141 5891 6837 7261 8342 10282 11782 12513 13289 13674 14522 15423 17673 21783 25026 26578 29111 30846 35346 35881 39867 43566 58222 65669 71762 79734 87333 92749 107643 131338 174666 185498 197007 215286 221063 278247 312223 394014 442126 556494 571427 624446 663189 704317 936669 1142854 1326378 1408634 1542883 1714281 1873338 2112951 2823767 3085766 3428562 3480457 3988207 4225902 4628649 4915697 5647534 6960914 7976414 8471301 8996653 9257298 9831394 10441371 11964621 14747091 16942602 17993306 20882742 23929242 26989959 29494182 30285631 53979918 60571262 90856893 149659651 181713786 211374971 299319302 386856079 422749942 448978953 476822609 634124913 773712158 897957906 953645218 1160568237 1268249826 1430467827 2321136474 2860935654 20503372187 41006744374 61510116561 123020233122