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122110102120 = 23519734921863
BaseRepresentation
bin111000110111001010…
…1000100101001101000
3102200012001200220102211
41301232111010221220
54000040141231440
6132032511134504
711552000512426
oct1615625045150
9380161626384
10122110102120
1147871a73076
121b7ba514434
13b6904013c6
145ca56a2116
15329a365eea
hex1c6e544a68

122110102120 has 64 divisors (see below), whose sum is σ = 289260720000. Its totient is φ = 46264889088.

The previous prime is 122110102099. The next prime is 122110102141. The reversal of 122110102120 is 21201011221.

It is an interprime number because it is at equal distance from previous prime (122110102099) and next prime (122110102141).

It is a self number, because there is not a number n which added to its sum of digits gives 122110102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5574309 + ... + 5596171.

It is an arithmetic number, because the mean of its divisors is an integer number (4519698750).

Almost surely, 2122110102120 is an apocalyptic number.

122110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110102120 is an abundant number, since it is smaller than the sum of its proper divisors (167150617880).

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

122110102120 is a wasteful number, since it uses less digits than its factorization.

122110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29242 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122110102120 its reverse (21201011221), we get a palindrome (143311113341).

The spelling of 122110102120 in words is "one hundred twenty-two billion, one hundred ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 7349 14698 21863 29396 36745 43726 58792 73490 87452 109315 139631 146980 174904 218630 279262 293960 415397 437260 558524 698155 830794 874520 1117048 1396310 1661588 2076985 2792620 3323176 4153970 5585240 8307940 16615880 160671187 321342374 642684748 803355935 1285369496 1606711870 3052752553 3213423740 6105505106 6426847480 12211010212 15263762765 24422020424 30527525530 61055051060 122110102120