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122322021312090 = 23559109769824477
BaseRepresentation
bin11011110100000001010000…
…101000001110011001011010
3121001002212111222112110211010
4123310001100220032121122
5112013110444423441330
61112053543312114350
734523321501525625
oct3364012050163132
9531085458473733
10122322021312090
1135a80529113a76
12118769b15359b6
135333bbcb94312
14222c5bb58cdbc
15e21d232303b0
hex6f4050a0e65a

122322021312090 has 128 divisors (see below), whose sum is σ = 301679798112000. Its totient is φ = 31730796527616.

The previous prime is 122322021312089. The next prime is 122322021312229. The reversal of 122322021312090 is 90213120223221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147950932 + ... + 148775408.

It is an arithmetic number, because the mean of its divisors is an integer number (2356873422750).

Almost surely, 2122322021312090 is an apocalyptic number.

122322021312090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122322021312090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150839899056000).

122322021312090 is an abundant number, since it is smaller than the sum of its proper divisors (179357776799910).

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

122322021312090 is a wasteful number, since it uses less digits than its factorization.

122322021312090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825424.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 122322021312090 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, twenty-one million, three hundred twelve thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 59 109 118 177 218 295 327 354 545 590 654 769 885 1090 1538 1635 1770 2307 3270 3845 4614 6431 7690 11535 12862 19293 23070 32155 38586 45371 64310 83821 90742 96465 136113 167642 192930 226855 251463 272226 419105 453710 502926 680565 824477 838210 1257315 1361130 1648954 2473431 2514630 4122385 4945439 4946862 8244770 9890878 12367155 14836317 24727195 24734310 29672634 48644143 49454390 74181585 89867993 97288286 145932429 148363170 179735986 243220715 269603979 291864858 449339965 486441430 539207958 634022813 729662145 898679930 1268045626 1348019895 1459324290 1902068439 2696039790 3170114065 3804136878 5302211587 6340228130 9510342195 10604423174 15906634761 19020684390 26511057935 31813269522 37407345967 53022115870 69108486617 74814691934 79533173805 112222037901 138216973234 159066347610 187036729835 207325459851 224444075802 345542433085 374073459670 414650919702 561110189505 691084866170 1036627299255 1122220379010 2073254598510 4077400710403 8154801420806 12232202131209 20387003552015 24464404262418 40774007104030 61161010656045 122322021312090