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121201202221122 = 234125118367106871
BaseRepresentation
bin11011100011101101011010…
…100110101101000001000010
3120220010201111011200022021010
4123203231122212231001002
5111341230030232033442
61105435021425141350
734346332530456102
oct3343553246550102
9526121434608233
10121201202221122
1135689160a43881
121171573148a856
1352822bbb05b0a
1421d0253105202
15e02ac4b69b9c
hex6e3b5a9ad042

121201202221122 has 64 divisors (see below), whose sum is σ = 249319865991168. Its totient is φ = 39255488400000.

The previous prime is 121201202221117. The next prime is 121201202221147. The reversal of 121201202221122 is 221122202102121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134035347 + ... + 1134142217.

It is an arithmetic number, because the mean of its divisors is an integer number (3895622906112).

Almost surely, 2121201202221122 is an apocalyptic number.

121201202221122 is an abundant number, since it is smaller than the sum of its proper divisors (128118663770046).

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

121201202221122 is a wasteful number, since it uses less digits than its factorization.

121201202221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125535.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 121201202221122 its reverse (221122202102121), we get a palindrome (342323404323243).

The spelling of 121201202221122 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 41 82 123 246 251 502 753 1506 10291 18367 20582 30873 36734 55101 61746 106871 110202 213742 320613 641226 753047 1506094 2259141 4381711 4518282 4610117 8763422 9220234 13145133 13830351 26290266 26824621 27660702 53649242 80473863 160947726 189014797 378029594 567044391 1099809461 1134088782 1962899657 2199618922 3299428383 3925799314 5888698971 6598856766 11777397942 80478885937 160957771874 241436657811 482873315622 492687813907 985375627814 1478063441721 2956126883442 20200200370187 40400400740374 60600601110561 121201202221122