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122243200123140 = 223251994737744061
BaseRepresentation
bin11011110010110111110110…
…100001010000000100000100
3121000211100001210120012120200
4123302313312201100010010
5112010313033212420030
61111553430104330500
734514531312502135
oct3362676641200404
9530740053505520
10122243200123140
1135a500606610a8
1211863674473a30
13532963b045345
1422288611c9c8c
15e1ec5d4b3d60
hex6f2df6850104

122243200123140 has 144 divisors (see below), whose sum is σ = 390732568873920. Its totient is φ = 30849880976640.

The previous prime is 122243200123139. The next prime is 122243200123141. The reversal of 122243200123140 is 41321002342221.

122243200123140 is a `hidden beast` number, since 1 + 2 + 2 + 24 + 320 + 0 + 1 + 2 + 314 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122243200123139) and next prime (122243200123141).

It is a super-2 number, since 2×1222432001231402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122243200123141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15633291 + ... + 22110770.

It is an arithmetic number, because the mean of its divisors is an integer number (2713420617180).

Almost surely, 2122243200123140 is an apocalyptic number.

122243200123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122243200123140 is an abundant number, since it is smaller than the sum of its proper divisors (268489368750780).

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

122243200123140 is a wasteful number, since it uses less digits than its factorization.

122243200123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37745042 (or 37745037 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122243200123140 its reverse (41321002342221), we get a palindrome (163564202465361).

The spelling of 122243200123140 in words is "one hundred twenty-two trillion, two hundred forty-three billion, two hundred million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 947 1140 1710 1894 2841 3420 3788 4735 5682 8523 9470 11364 14205 17046 17993 18940 28410 34092 35986 42615 53979 56820 71972 85230 89965 107958 161937 170460 179930 215916 269895 323874 359860 539790 647748 809685 1079580 1619370 3238740 37744061 75488122 113232183 150976244 188720305 226464366 339696549 377440610 452928732 566160915 679393098 717137159 754881220 1132321830 1358786196 1434274318 1698482745 2151411477 2264643660 2868548636 3396965490 3585685795 4302822954 6454234431 6793930980 7171371590 8605645908 10757057385 12908468862 14342743180 21514114770 25816937724 32271172155 35743625767 43028229540 64542344310 71487251534 107230877301 129084688620 142974503068 178718128835 214461754602 321692631903 357436257670 428923509204 536154386505 643385263806 679128889573 714872515340 1072308773010 1286770527612 1358257779146 1608463159515 2037386668719 2144617546020 2716515558292 3216926319030 3395644447865 4074773337438 6112160006157 6433852638060 6791288895730 8149546674876 10186933343595 12224320012314 13582577791460 20373866687190 24448640024628 30560800030785 40747733374380 61121600061570 122243200123140