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122210021020 = 22541349427039
BaseRepresentation
bin111000111010001001…
…0001110111010011100
3102200110000201022101211
41301310102032322130
54000241231133040
6132050440514204
711554323016243
oct1616422167234
9380400638354
10122210021020
114791340967a
121b827a7b964
13b6a8017009
145cb4a7195a
1532a40018ea
hex1c7448ee9c

122210021020 has 48 divisors (see below), whose sum is σ = 263654496000. Its totient is φ = 47554951680.

The previous prime is 122210020997. The next prime is 122210021027. The reversal of 122210021020 is 20120012221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210021027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72661 + ... + 499699.

It is an arithmetic number, because the mean of its divisors is an integer number (5492802000).

Almost surely, 2122210021020 is an apocalyptic number.

122210021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122210021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131827248000).

122210021020 is an abundant number, since it is smaller than the sum of its proper divisors (141444474980).

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

122210021020 is a wasteful number, since it uses less digits than its factorization.

122210021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427438 (or 427436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122210021020 its reverse (20120012221), we get a palindrome (142330033241).

The spelling of 122210021020 in words is "one hundred twenty-two billion, two hundred ten million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 349 410 698 820 1396 1745 3490 6980 14309 28618 57236 71545 143090 286180 427039 854078 1708156 2135195 4270390 8540780 17508599 35017198 70034396 87542995 149036611 175085990 298073222 350171980 596146444 745183055 1490366110 2980732220 6110501051 12221002102 24442004204 30552505255 61105010510 122210021020