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122020101220 = 2258117751633
BaseRepresentation
bin111000110100011110…
…1101111110001100100
3102122221210100101102011
41301220331233301210
53444344121214340
6132015534124004
711546525514223
oct1615075576144
9378853311364
10122020101220
1147826191066
121b794350604
13b67787bc34
145c97754cba
1532924d90ea
hex1c68f6fc64

122020101220 has 24 divisors (see below), whose sum is σ = 256274122104. Its totient is φ = 48801962496.

The previous prime is 122020101199. The next prime is 122020101223. The reversal of 122020101220 is 22101020221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44709410916 + 77310690304 = 211446^2 + 278048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122020101220.

It is not an unprimeable number, because it can be changed into a prime (122020101223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213477 + ... + 538156.

It is an arithmetic number, because the mean of its divisors is an integer number (10678088421).

Almost surely, 2122020101220 is an apocalyptic number.

122020101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020101220 is an abundant number, since it is smaller than the sum of its proper divisors (134254020884).

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

122020101220 is a wasteful number, since it uses less digits than its factorization.

122020101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759759 (or 759757 counting only the distinct ones).

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

Adding to 122020101220 its reverse (22101020221), we get a palindrome (144121121441).

The spelling of 122020101220 in words is "one hundred twenty-two billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 8117 16234 32468 40585 81170 162340 751633 1503266 3006532 3758165 7516330 15032660 6101005061 12202010122 24404020244 30505025305 61010050610 122020101220