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1225456545221 = 29596110121151
BaseRepresentation
bin10001110101010010111…
…001101110110111000101
311100011010011200121002122
4101311102321232313011
5130034213333421341
62334544510415325
7154351645524026
oct21652271566705
94304104617078
101225456545221
114327932aa317
12179602b01545
138b7385a010c
1443453394c4d
1521d249e094b
hex11d52e6edc5

1225456545221 has 48 divisors (see below), whose sum is σ = 1324586649600. Its totient is φ = 1131765600000.

The previous prime is 1225456545197. The next prime is 1225456545239.

1225456545221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1225456545221 - 210 = 1225456544197 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225456545241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1064687996 + ... + 1064689146.

It is an arithmetic number, because the mean of its divisors is an integer number (27595555200).

Almost surely, 21225456545221 is an apocalyptic number.

It is an amenable number.

1225456545221 is a deficient number, since it is larger than the sum of its proper divisors (99130104379).

1225456545221 is a wasteful number, since it uses less digits than its factorization.

1225456545221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1401 counting only the distinct ones).

The product of its digits is 960000, while the sum is 44.

The spelling of 1225456545221 in words is "one trillion, two hundred twenty-five billion, four hundred fifty-six million, five hundred forty-five thousand, two hundred twenty-one".

Divisors: 1 29 59 61 101 1151 1711 1769 2929 3599 5959 6161 10201 33379 67909 70211 104371 116251 172811 178669 295829 363499 601859 622261 1969361 2036119 3371279 4142449 6858809 7091311 10541471 11741351 17453911 18045569 36713399 120131021 198905461 205648019 340499179 418387349 692739709 716222411 1064688571 12133233121 20089451561 20770449919 42257122249 1225456545221