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122000011221011 = 711236154112831627
BaseRepresentation
bin11011101111010101010111…
…010101001101100000010011
3120222222002100112201222020112
4123233111113111031200103
5111442322010333033021
61111250010442231535
734461132003105440
oct3357252725154023
9528862315658215
10122000011221011
1135966a06889560
1211824504ab55ab
13530c7230bc5a1
14221ab912009c7
15e187785ecd5b
hex6ef55754d813

122000011221011 has 128 divisors (see below), whose sum is σ = 161842610552832. Its totient is φ = 89151264576000.

The previous prime is 122000011220993. The next prime is 122000011221013. The reversal of 122000011221011 is 110122110000221.

It is a de Polignac number, because none of the positive numbers 2k-122000011221011 is a prime.

It is a super-2 number, since 2×1220000112210112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122000011221013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74984640380 + ... + 74984642006.

It is an arithmetic number, because the mean of its divisors is an integer number (1264395394944).

Almost surely, 2122000011221011 is an apocalyptic number.

122000011221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122000011221011 is a deficient number, since it is larger than the sum of its proper divisors (39842599331821).

122000011221011 is a wasteful number, since it uses less digits than its factorization.

122000011221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122000011221011 its reverse (110122110000221), we get a palindrome (232122121221232).

The spelling of 122000011221011 in words is "one hundred twenty-two trillion, eleven million, two hundred twenty-one thousand, eleven".

Divisors: 1 7 11 23 61 77 161 253 427 541 671 1283 1403 1627 1771 3787 4697 5951 8981 9821 11389 12443 14113 15433 17897 29509 33001 37421 41657 78263 87101 98791 99247 108031 125279 136873 206563 231007 261947 324599 363011 411631 547841 694103 694729 759023 860893 880207 958111 1091717 1800049 2087441 2272193 2282681 2541077 2881417 4858721 5313161 6026251 6161449 7635133 7642019 8349253 9682277 12600343 14612087 15964369 15978767 19800539 20244761 22961851 25109491 42340283 48011143 53445931 53692627 58444771 67775939 111750583 127333901 138603773 141713327 160732957 175608059 175766437 222692371 296381981 336078001 375848389 465743113 528122573 590618897 891337307 973826509 1129305581 1229256413 1234930421 1400672911 1558846597 2928679723 3260201791 3696858011 4134332279 6816785563 7905139067 8644512947 9804710377 10712091599 12422361391 13584234631 20500758061 25974028363 32215476953 68887640441 74984641193 86956529737 95089642417 181818198541 225508338671 285714311993 482213483087 757764044851 1584415730143 2000000183951 5304348313957 11090910111001 17428573031573 122000011221011