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121000121012221 = 11273101137990001
BaseRepresentation
bin11011100000110010001001…
…001110110000111111111101
3120212102111110110220111222121
4123200302021032300333331
5111324431221434342341
61105202404353042541
734325653540421413
oct3340621116607775
9525374413814877
10121000121012221
1135610954932400
12116a2773856451
1352693547b5079
1421c46195b72b3
15dec7568224d1
hex6e0c893b0ffd

121000121012221 has 48 divisors (see below), whose sum is σ = 137150909151984. Its totient is φ = 106634880000000.

The previous prime is 121000121012203. The next prime is 121000121012299. The reversal of 121000121012221 is 122210121000121.

It can be written as a sum of positive squares in 8 ways, for example, as 886631275321 + 120113489736900 = 941611^2 + 10959630^2 .

It is not a de Polignac number, because 121000121012221 - 25 = 121000121012189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121000121012195 and 121000121012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000121042221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121727221 + ... + 122717221.

It is an arithmetic number, because the mean of its divisors is an integer number (2857310607333).

Almost surely, 2121000121012221 is an apocalyptic number.

121000121012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121000121012221 is a deficient number, since it is larger than the sum of its proper divisors (16150788139763).

121000121012221 is a wasteful number, since it uses less digits than its factorization.

121000121012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990334 (or 990323 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121000121012221 its reverse (122210121000121), we get a palindrome (243210242012342).

It can be divided in two parts, 1210001 and 21012221, that added together give a palindrome (22222222).

The spelling of 121000121012221 in words is "one hundred twenty-one trillion, one hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 73 101 121 137 803 1111 1507 7373 8833 10001 12221 13837 16577 81103 110011 152207 892133 990001 1010101 1210121 1674277 10890011 11111111 72270073 99990101 119790121 122222221 135630137 794970803 1099891111 1491931507 7299277373 8744678833 9901000001 12098802221 13698643837 16411246577 80292051103 108911000011 150685082207 883212562133 1000001000101 1198021000121 1657535904277 11000011001111 121000121012221