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123122000220 = 223517713115849
BaseRepresentation
bin111001010101010100…
…1001010000101011100
3102202210120202122200020
41302222221022011130
54004123213001340
6132321135432140
711616035506602
oct1625251120534
9382716678606
10123122000220
114824118309a
121ba41385650
13b7c1c4608b
145d5dc29872
1533090e79d0
hex1caaa4a15c

123122000220 has 48 divisors (see below), whose sum is σ = 344764039200. Its totient is φ = 32830396416.

The previous prime is 123122000213. The next prime is 123122000227. The reversal of 123122000220 is 22000221321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123122000213) and next prime (123122000227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123122000220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123122000227) 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 15 ways as a sum of consecutive naturals, for example, 1004856 + ... + 1120704.

It is an arithmetic number, because the mean of its divisors is an integer number (7182584150).

Almost surely, 2123122000220 is an apocalyptic number.

123122000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123122000220 is an abundant number, since it is smaller than the sum of its proper divisors (221642038980).

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

123122000220 is a wasteful number, since it uses less digits than its factorization.

123122000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133574 (or 133572 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 123122000220 its reverse (22000221321), we get a palindrome (145122221541).

The spelling of 123122000220 in words is "one hundred twenty-three billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 17713 35426 53139 70852 88565 106278 115849 177130 212556 231698 265695 347547 354260 463396 531390 579245 695094 1062780 1158490 1390188 1737735 2316980 3475470 6950940 2052033337 4104066674 6156100011 8208133348 10260166685 12312200022 20520333370 24624400044 30780500055 41040666740 61561000110 123122000220