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122000120002112 = 26112942359141073
BaseRepresentation
bin11011101111010101011101…
…110100001011011001000000
3120222222002122010102121212012
4123233111131310023121000
5111442322221210031422
61111250025325552052
734461134463532502
oct3357253564133100
9528862563377765
10122000120002112
1135966a622283a0
1211824535415628
13530c73c7b8bc1
14221aba1839d72
15e18782e394e2
hex6ef55dd0b640

122000120002112 has 112 divisors (see below), whose sum is σ = 273217902940800. Its totient is φ = 53540728872960.

The previous prime is 122000120002091. The next prime is 122000120002169. The reversal of 122000120002112 is 211200021000221.

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, 864730808 + ... + 864871880.

Almost surely, 2122000120002112 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 122000120002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136608951470400).

122000120002112 is an abundant number, since it is smaller than the sum of its proper divisors (151217782938688).

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

122000120002112 is a wasteful number, since it uses less digits than its factorization.

122000120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183484 (or 183474 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122000120002112 its reverse (211200021000221), we get a palindrome (333200141002333).

The spelling of 122000120002112 in words is "one hundred twenty-two trillion, one hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 5104 10208 20416 42359 84718 141073 169436 282146 338872 465949 564292 677744 931898 1128584 1228411 1355488 1551803 1863796 2257168 2456822 2710976 3103606 3727592 4091117 4514336 4913644 6207212 7455184 8182234 9028672 9827288 12414424 13512521 14910368 16364468 19654576 24828848 27025042 29820736 32728936 39309152 45002287 49657696 54050084 65457872 78618304 90004574 99315392 108100168 130915744 180009148 216200336 261831488 360018296 432400672 720036592 864801344 1440073184 2880146368 5975711207 11951422414 23902844828 47805689656 65732823277 95611379312 131465646554 173295625003 191222758624 262931293108 346591250006 382445517248 525862586216 693182500012 1051725172432 1386365000024 1906251875033 2103450344864 2772730000048 3812503750066 4206900689728 5545460000096 7625007500132 11090920000192 15250015000264 30500030000528 61000060001056 122000120002112