Search a number
-
+
122012021101221 = 3245972949073577
BaseRepresentation
bin11011101111100000100011…
…001011010001001010100101
3121000000020100112110002200200
4123233200203023101022211
5111443021104400214341
61111255314303501113
734462035424312446
oct3357404313211245
9530006315402620
10122012021101221
113597100a079299
12118268b6bb7799
1353108b8303294
14221b5b02712cd
15e18c2cb70db6
hex6ef8232d12a5

122012021101221 has 12 divisors (see below), whose sum is σ = 176277924051372. Its totient is φ = 81323652931776.

The previous prime is 122012021101129. The next prime is 122012021101241. The reversal of 122012021101221 is 122101120210221.

122012021101221 is a `hidden beast` number, since 1 + 220 + 12 + 0 + 211 + 0 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7305479208225 + 114706541892996 = 2702865^2 + 10710114^2 .

It is not a de Polignac number, because 122012021101221 - 211 = 122012021099173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122012021101194 and 122012021101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012021101241) 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 11 ways as a sum of consecutive naturals, for example, 1474495416 + ... + 1474578161.

It is an arithmetic number, because the mean of its divisors is an integer number (14689827004281).

Almost surely, 2122012021101221 is an apocalyptic number.

It is an amenable number.

122012021101221 is a deficient number, since it is larger than the sum of its proper divisors (54265902950151).

122012021101221 is a wasteful number, since it uses less digits than its factorization.

122012021101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949078180 (or 2949078177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122012021101221 its reverse (122101120210221), we get a palindrome (244113141311442).

The spelling of 122012021101221 in words is "one hundred twenty-two trillion, twelve billion, twenty-one million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 4597 13791 41373 2949073577 8847220731 26541662193 13556891233469 40670673700407 122012021101221