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122102102022112 = 2517795851485587
BaseRepresentation
bin11011110000110100011100…
…011010101101011111100000
3121000022211212102121000102001
4123300310130122231133200
5112001010101104201422
61111404533054333344
734501404625436122
oct3360643432553740
9530284772530361
10122102102022112
11359a623543a453
1211840256aba254
135319242b18b34
142221ab7bd5212
15e1b251184227
hex6f0d1c6ad7e0

122102102022112 has 96 divisors (see below), whose sum is σ = 257795483742720. Its totient is φ = 56722660300800.

The previous prime is 122102102022091. The next prime is 122102102022137. The reversal of 122102102022112 is 211220201201221.

It is a self number, because there is not a number n which added to its sum of digits gives 122102102022112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251209783 + ... + 251695369.

It is an arithmetic number, because the mean of its divisors is an integer number (2685369622320).

Almost surely, 2122102102022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102102022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128897741871360).

122102102022112 is an abundant number, since it is smaller than the sum of its proper divisors (135693381720608).

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

122102102022112 is a wasteful number, since it uses less digits than its factorization.

122102102022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491544 (or 491536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122102102022112 its reverse (211220201201221), we get a palindrome (333322303223333).

The spelling of 122102102022112 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 79 136 158 272 316 544 632 1264 1343 2528 2686 5372 5851 10744 11702 21488 23404 42976 46808 93616 99467 187232 198934 397868 462229 485587 795736 924458 971174 1591472 1848916 1942348 3182944 3697832 3884696 7395664 7769392 7857893 8254979 14791328 15538784 15715786 16509958 31431572 33019916 38361373 62863144 66039832 76722746 125726288 132079664 153445492 251452576 264159328 306890984 613781968 652143341 1227563936 1304286682 2608573364 2841169537 5217146728 5682339074 10434293456 11364678148 20868586912 22729356296 45458712592 48299882129 90917425184 96599764258 193199528516 224452393423 386399057032 448904786846 772798114064 897809573692 1545596228128 1795619147384 3591238294768 3815690688191 7182476589536 7631381376382 15262762752764 30525525505528 61051051011056 122102102022112