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1122202012221 = 321491657505033
BaseRepresentation
bin10000010101001000011…
…100111100101000111101
310222021121012001211212200
4100111020130330220331
5121341232203342341
62215311003422113
7144035132501103
oct20251034745075
93867535054780
101122202012221
113a2a17864424
121615a7224939
1381a9173a404
143c459dd1c73
151e2cebd4db6
hex1054873ca3d

1122202012221 has 24 divisors (see below), whose sum is σ = 1632825425400. Its totient is φ = 742663696896.

The previous prime is 1122202012199. The next prime is 1122202012231. The reversal of 1122202012221 is 1222102022211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 148992140025 + 973209872196 = 385995^2 + 986514^2 .

It is not a de Polignac number, because 1122202012221 - 27 = 1122202012093 is a prime.

It is a super-2 number, since 2×11222020122212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122202012194 and 1122202012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122202012231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969521 + ... + 2474553.

It is an arithmetic number, because the mean of its divisors is an integer number (68034392725).

Almost surely, 21122202012221 is an apocalyptic number.

It is an amenable number.

1122202012221 is a deficient number, since it is larger than the sum of its proper divisors (510623413179).

1122202012221 is a wasteful number, since it uses less digits than its factorization.

1122202012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506845 (or 506842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122202012221 its reverse (1222102022211), we get a palindrome (2344304034432).

The spelling of 1122202012221 in words is "one trillion, one hundred twenty-two billion, two hundred two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 149 447 1341 1657 4971 14913 246893 505033 740679 1515099 2222037 4545297 75249917 225749751 677249253 836839681 2510519043 7531557129 124689112469 374067337407 1122202012221