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1221231322241 = 72331569132331
BaseRepresentation
bin10001110001010111000…
…011110010010010000001
311022202012201012000210122
4101301113003302102001
5130002040204302431
62333005333310025
7154142151651500
oct21612703622201
94282181160718
101221231322241
11430a152757a7
12178823a95315
138b214102888
1443172174837
1521b78acca7b
hex11c570f2481

1221231322241 has 24 divisors (see below), whose sum is σ = 1427422937760. Its totient is φ = 1041765278400.

The previous prime is 1221231322219. The next prime is 1221231322247. The reversal of 1221231322241 is 1422231321221.

It is not a de Polignac number, because 1221231322241 - 26 = 1221231322177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1221231322241.

It is not an unprimeable number, because it can be changed into a prime (1221231322247) 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 23 ways as a sum of consecutive naturals, for example, 9162446 + ... + 9294776.

It is an arithmetic number, because the mean of its divisors is an integer number (59475955740).

Almost surely, 21221231322241 is an apocalyptic number.

It is an amenable number.

1221231322241 is a deficient number, since it is larger than the sum of its proper divisors (206191615519).

1221231322241 is a wasteful number, since it uses less digits than its factorization.

1221231322241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133245 (or 133238 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 1221231322241 its reverse (1422231321221), we get a palindrome (2643462643462).

The spelling of 1221231322241 in words is "one trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 7 49 331 569 2317 3983 16219 27881 132331 188339 926317 1318373 6484219 9228611 43801561 75296339 306610927 527074373 2146276489 3689520611 24923088209 174461617463 1221231322241