Search a number
-
+
122101120222201 = 2360138212311747
BaseRepresentation
bin11011110000110011100001…
…111001011100001111111001
3121000022202100000011102010101
4123300303201321130033321
5112001001043234102301
61111404251423115401
734501341404326531
oct3360634171341771
9530282300142111
10122101120222201
11359a588121766a
1211840022142b61
1353191175b1a43
142221a236644c1
15e1b1e4d9a701
hex6f0ce1e5c3f9

122101120222201 has 16 divisors (see below), whose sum is σ = 127655316367488. Its totient is φ = 116567480304000.

The previous prime is 122101120222177. The next prime is 122101120222223. The reversal of 122101120222201 is 102222021101221.

It is a cyclic number.

It is not a de Polignac number, because 122101120222201 - 211 = 122101120220153 is a prime.

It is a super-2 number, since 2×1221011202222012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101120222271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51661810 + ... + 53973556.

It is an arithmetic number, because the mean of its divisors is an integer number (7978457272968).

Almost surely, 2122101120222201 is an apocalyptic number.

It is an amenable number.

122101120222201 is a deficient number, since it is larger than the sum of its proper divisors (5554196145287).

122101120222201 is a wasteful number, since it uses less digits than its factorization.

122101120222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316192.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122101120222201 its reverse (102222021101221), we get a palindrome (224323141323422).

The spelling of 122101120222201 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 23 601 3821 13823 87883 2296421 2311747 52817683 53170181 1389359947 8833185287 31955278781 203163261601 5308744357487 122101120222201