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122201311333020 = 223523133321664199
BaseRepresentation
bin11011110010010000110101…
…110000001100101010011100
3121000200022221111102012010120
4123302100311300030222130
5112004121241200124040
61111522301334234540
734511516261610453
oct3362206560145234
9530608844365116
10122201311333020
1135a34315514097
1211857523ab5a50
1353256c38856ba
142226809c31b9a
15e1db0ac857d0
hex6f2435c0ca9c

122201311333020 has 96 divisors (see below), whose sum is σ = 357043568716800. Its totient is φ = 31169908830720.

The previous prime is 122201311333009. The next prime is 122201311333033. The reversal of 122201311333020 is 20333113102221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183650881 + ... + 184315079.

It is an arithmetic number, because the mean of its divisors is an integer number (3719203840800).

Almost surely, 2122201311333020 is an apocalyptic number.

122201311333020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201311333020 is an abundant number, since it is smaller than the sum of its proper divisors (234842257383780).

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

122201311333020 is a wasteful number, since it uses less digits than its factorization.

122201311333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797555 (or 797553 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122201311333020 its reverse (20333113102221), we get a palindrome (142534424435241).

The spelling of 122201311333020 in words is "one hundred twenty-two trillion, two hundred one billion, three hundred eleven million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 133321 266642 399963 533284 664199 666605 799926 1328398 1333210 1599852 1992597 1999815 2656796 2666420 3066383 3320995 3985194 3999630 6132766 6641990 7970388 7999260 9199149 9962985 12265532 13283980 15276577 15331915 18398298 19925970 30553154 30663830 36796596 39851940 45829731 45995745 61106308 61327660 76382885 91659462 91991490 152765770 183318924 183982980 229148655 305531540 458297310 916594620 88551674879 177103349758 265655024637 354206699516 442758374395 531310049274 885516748790 1062620098548 1328275123185 1771033497580 2036688522217 2656550246370 4073377044434 5313100492740 6110065566651 8146754088868 10183442611085 12220131133302 20366885222170 24440262266604 30550327833255 40733770444340 61100655666510 122201311333020