Search a number
-
+
122201121021 = 3723132655911
BaseRepresentation
bin111000111001111000…
…0010010000011111101
3102200102101222010220020
41301303300102003331
54000231441333041
6132045522042353
711554154250600
oct1616360220375
9380371863806
10122201121021
114790938aa01
121b824aa93b9
13b6a621c045
145cb37d6337
1532a3344866
hex1c73c120fd

122201121021 has 24 divisors (see below), whose sum is σ = 190142051904. Its totient is φ = 69606089280.

The previous prime is 122201121017. The next prime is 122201121047. The reversal of 122201121021 is 120121102221.

It is not a de Polignac number, because 122201121021 - 22 = 122201121017 is a prime.

It is a super-2 number, since 2×1222011210212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201101021) 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, 1281945 + ... + 1373966.

It is an arithmetic number, because the mean of its divisors is an integer number (7922585496).

Almost surely, 2122201121021 is an apocalyptic number.

It is an amenable number.

122201121021 is a deficient number, since it is larger than the sum of its proper divisors (67940930883).

122201121021 is a wasteful number, since it uses less digits than its factorization.

122201121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656241 (or 2656234 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122201121021 its reverse (120121102221), we get a palindrome (242322223242).

The spelling of 122201121021 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 21 49 147 313 939 2191 6573 15337 46011 2655911 7967733 18591377 55774131 130139639 390418917 831300143 2493900429 5819101001 17457303003 40733707007 122201121021