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122421211312 = 24191599125183
BaseRepresentation
bin111001000000011011…
…1110111000010110000
3102200222202002220000111
41302000313313002300
54001204312230222
6132123423231104
711562466061341
oct1620067670260
9380882086014
10122421211312
1147a11645004
121b886748494
13b70c9bb89a
145cd4b280c8
1532b781b777
hex1c80df70b0

122421211312 has 40 divisors (see below), whose sum is σ = 249700367360. Its totient is φ = 57983065920.

The previous prime is 122421211307. The next prime is 122421211313. The reversal of 122421211312 is 213112124221.

It is a super-2 number, since 2×1224212113122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122421211313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4848673 + ... + 4873855.

It is an arithmetic number, because the mean of its divisors is an integer number (6242509184).

Almost surely, 2122421211312 is an apocalyptic number.

It is an amenable number.

122421211312 is an abundant number, since it is smaller than the sum of its proper divisors (127279156048).

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

122421211312 is a wasteful number, since it uses less digits than its factorization.

122421211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41201 (or 41195 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

Adding to 122421211312 its reverse (213112124221), we get a palindrome (335533335533).

The spelling of 122421211312 in words is "one hundred twenty-two billion, four hundred twenty-one million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 15991 25183 31982 50366 63964 100732 127928 201464 255856 303829 402928 478477 607658 956954 1215316 1913908 2430632 3827816 4861264 7655632 402701353 805402706 1610805412 3221610824 6443221648 7651325707 15302651414 30605302828 61210605656 122421211312