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122102122121210 = 25721125439890501
BaseRepresentation
bin11011110000110100011101…
…100111011000011111111010
3121000022211220211102011012002
4123300310131213120133322
5112001010121230334320
61111404535053221002
734501405261330100
oct3360643547303772
9530284824364162
10122102122121210
11359a6245818180
1211840261791762
1353192470353aa
142221aba747c70
15e1b252d04675
hex6f0d1d9d87fa

122102122121210 has 96 divisors (see below), whose sum is σ = 278920614274560. Its totient is φ = 38056265520000.

The previous prime is 122102122121173. The next prime is 122102122121219. The reversal of 122102122121210 is 12121221201221.

122102122121210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122102122121219) 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, 136670960 + ... + 137561460.

It is an arithmetic number, because the mean of its divisors is an integer number (2905423065360).

Almost surely, 2122102122121210 is an apocalyptic number.

122102122121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122102122121210 is an abundant number, since it is smaller than the sum of its proper divisors (156818492153350).

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

122102122121210 is a wasteful number, since it uses less digits than its factorization.

122102122121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915972 (or 915965 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122102122121210 its reverse (12121221201221), we get a palindrome (134223343322431).

The spelling of 122102122121210 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2695 5390 25439 50878 127195 178073 254390 279829 356146 559658 890365 890501 1246511 1399145 1780730 1781002 1958803 2493022 2798290 3917606 4452505 6232555 6233507 8905010 9794015 9795511 12465110 12467014 13711621 19588030 19591022 27423242 31167535 43634549 48977555 62335070 68558105 68568577 87269098 97955110 137116210 137137154 218172745 342842885 436345490 479980039 685685770 959960078 2399900195 4799800390 22653454939 45306909878 113267274695 158574184573 226534549390 249188004329 317148369146 498376008658 792870922865 1110019292011 1245940021645 1585741845730 1744316030303 2220038584022 2491880043290 3488632060606 5550096460055 8721580151515 11100192920110 12210212212121 17443160303030 24420424424242 61051061060605 122102122121210