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1221202201220 = 225208948136073
BaseRepresentation
bin10001110001010101010…
…100101100101010000100
311022202010200101112021022
4101301111110230222010
5130002010230414340
62333002413210312
7154141346303531
oct21612524545204
94282120345238
101221202201220
114309aa895741
12178816190998
138b20b0779c1
144316c353d88
1521b762793b5
hex11c5552ca84

1221202201220 has 48 divisors (see below), whose sum is σ = 2566707916080. Its totient is φ = 488065222656.

The previous prime is 1221202201211. The next prime is 1221202201243. The reversal of 1221202201220 is 221022021221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 295361814784 + 925840386436 = 543472^2 + 962206^2 .

It is an unprimeable number.

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, 201084104 + ... + 201090176.

It is an arithmetic number, because the mean of its divisors is an integer number (53473081585).

Almost surely, 21221202201220 is an apocalyptic number.

1221202201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221202201220 is an abundant number, since it is smaller than the sum of its proper divisors (1345505714860).

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

1221202201220 is a wasteful number, since it uses less digits than its factorization.

1221202201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1221202201220 its reverse (221022021221), we get a palindrome (1442224222441).

The spelling of 1221202201220 in words is "one trillion, two hundred twenty-one billion, two hundred two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2089 4178 4813 6073 8356 9626 10445 12146 19252 20890 24065 24292 30365 41780 48130 60730 96260 121460 10054357 12686497 20108714 25372994 29229349 40217428 50271785 50745988 58458698 63432485 100543570 116917396 126864970 146146745 201087140 253729940 292293490 584586980 61060110061 122120220122 244240440244 305300550305 610601100610 1221202201220