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122402024140440 = 233511202745746821
BaseRepresentation
bin11011110101001011110001…
…001010110010111010011000
3121001101112000111222020120210
4123311023301022302322120
5112020413321134443230
61112154414050251120
734532153156410302
oct3365136112627230
9531345014866523
10122402024140440
1136001452682030
121188a3ba286aa0
13533b5cc7795c5
14223240a862972
15e23e56aabeb0
hex6f52f12b2e98

122402024140440 has 128 divisors (see below), whose sum is σ = 400786077669120. Its totient is φ = 29658578342400.

The previous prime is 122402024140433. The next prime is 122402024140469. The reversal of 122402024140440 is 44041420204221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122402024140398 and 122402024140407.

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, 20197771 + ... + 25549050.

It is an arithmetic number, because the mean of its divisors is an integer number (3131141231790).

Almost surely, 2122402024140440 is an apocalyptic number.

122402024140440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122402024140440 is an abundant number, since it is smaller than the sum of its proper divisors (278384053528680).

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

122402024140440 is a wasteful number, since it uses less digits than its factorization.

122402024140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45748873 (or 45748869 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 122402024140440 its reverse (44041420204221), we get a palindrome (166443444344661).

The spelling of 122402024140440 in words is "one hundred twenty-two trillion, four hundred two billion, twenty-four million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2027 4054 6081 8108 10135 12162 16216 20270 22297 24324 30405 40540 44594 48648 60810 66891 81080 89188 111485 121620 133782 178376 222970 243240 267564 334455 445940 535128 668910 891880 1337820 2675640 45746821 91493642 137240463 182987284 228734105 274480926 365974568 457468210 503215031 548961852 686202315 914936420 1006430062 1097923704 1372404630 1509645093 1829872840 2012860124 2516075155 2744809260 3019290186 4025720248 5032150310 5489618520 6038580372 7548225465 10064300620 12077160744 15096450930 20128601240 30192901860 60385803720 92728806167 185457612334 278186418501 370915224668 463644030835 556372837002 741830449336 927288061670 1020016867837 1112745674004 1390932092505 1854576123340 2040033735674 2225491348008 2781864185010 3060050603511 3709152246680 4080067471348 5100084339185 5563728370020 6120101207022 8160134942696 10200168678370 11127456740040 12240202414044 15300253017555 20400337356740 24480404828088 30600506035110 40800674713480 61201012070220 122402024140440