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122010220012021 = 111773137154342281
BaseRepresentation
bin11011101111011110110111…
…110100101010000111110101
3121000000001201000101021210021
4123233132313310222013311
5111443003412310341041
61111254415444125141
734461642664310515
oct3357366764520765
9530001630337707
10122010220012021
1135970275440320
12118264939967b1
13531068c121523
14221b47cd93845
15e18b7499ecd1
hex6ef7b7d2a1f5

122010220012021 has 64 divisors (see below), whose sum is σ = 144001619099136. Its totient is φ = 102143501107200.

The previous prime is 122010220012019. The next prime is 122010220012063. The reversal of 122010220012021 is 120210022010221.

It is a happy number.

It is not a de Polignac number, because 122010220012021 - 21 = 122010220012019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122010220011986 and 122010220012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010220042021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2885677401 + ... + 2885719681.

It is an arithmetic number, because the mean of its divisors is an integer number (2250025298424).

Almost surely, 2122010220012021 is an apocalyptic number.

122010220012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122010220012021 is a deficient number, since it is larger than the sum of its proper divisors (21991399087115).

122010220012021 is a wasteful number, since it uses less digits than its factorization.

122010220012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44062.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122010220012021 its reverse (120210022010221), we get a palindrome (242220242022242).

The spelling of 122010220012021 in words is "one hundred twenty-two trillion, ten billion, two hundred twenty million, twelve thousand, twenty-one".

Divisors: 1 11 17 73 137 187 803 1241 1507 1543 2329 10001 13651 16973 25619 26231 42281 110011 112639 170017 211391 288541 465091 718777 1239029 1870187 1914863 2325301 3086513 3593647 5792497 7906547 15431543 21063493 33951643 39530117 52470721 63717467 65239583 98472449 169746973 262336231 422852281 577177931 717635413 1083196939 1109072911 2885698541 4651375091 4762489559 7188488777 8937822871 12199802021 52387385149 79073376547 80962322503 98316051581 151942988807 652461069583 890585547533 1671372876877 7177071765413 11091838182911 122010220012021