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122010010322320 = 24514951061200461
BaseRepresentation
bin11011101111011110101011…
…010100110000010110010000
3121000000001011101210221121001
4123233132223110300112100
5111443003000120303240
61111254342553511344
734461634540055341
oct3357365324602620
9530001141727531
10122010010322320
113597017803a34a
1211826435712554
135310657853993
14221b45d1ac0c8
15e18b6137e89a
hex6ef7ab530590

122010010322320 has 80 divisors (see below), whose sum is σ = 285584138967600. Its totient is φ = 48475269273600.

The previous prime is 122010010322303. The next prime is 122010010322413. The reversal of 122010010322320 is 23223010010221.

It can be written as a sum of positive squares in 8 ways, for example, as 24877789719696 + 97132220602624 = 4987764^2 + 9855568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608546890 + ... + 608747350.

It is an arithmetic number, because the mean of its divisors is an integer number (3569801737095).

Almost surely, 2122010010322320 is an apocalyptic number.

122010010322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010010322320 is an abundant number, since it is smaller than the sum of its proper divisors (163574128645280).

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

122010010322320 is a wasteful number, since it uses less digits than its factorization.

122010010322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251684 (or 251678 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122010010322320 its reverse (23223010010221), we get a palindrome (145233020332541).

The spelling of 122010010322320 in words is "one hundred twenty-two trillion, ten billion, ten million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 51061 102122 200461 204244 255305 400922 408488 510610 801844 816976 1002305 1021220 1603688 2004610 2042440 3207376 4009220 4084880 7608089 8018440 15216178 16036880 29868689 30432356 38040445 59737378 60864712 76080890 119474756 121729424 149343445 152161780 238949512 298686890 304323560 477899024 597373780 608647120 1194747560 2389495120 10235739121 20471478242 40942956484 51178695605 81885912968 102357391210 163771825936 204714782420 409429564840 818859129680 1525125129029 3050250258058 6100500516116 7625625645145 12201001032232 15251251290290 24402002064464 30502502580580 61005005161160 122010010322320