Search a number
-
+
122002200120011 = 1931964321480293
BaseRepresentation
bin11011101111010111011001…
…110011001100101011001011
3120222222022000002112120011212
4123233113121303030223023
5111442341001212320021
61111251011554043335
734461240152331251
oct3357273163145313
9528868002476155
10122002200120011
113596792a4167a2
1211824a15b7954b
13530c9b17351b3
14221ad1bbcc5d1
15e1885587585b
hex6ef5d9cccacb

122002200120011 has 16 divisors (see below), whose sum is σ = 132579811415040. Its totient is φ = 111841006750560.

The previous prime is 122002200119939. The next prime is 122002200120041. The reversal of 122002200120011 is 110021002200221.

It is a cyclic number.

It is not a de Polignac number, because 122002200120011 - 226 = 122002133011147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122002200120041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5060420 + ... + 16419873.

It is an arithmetic number, because the mean of its divisors is an integer number (8286238213440).

Almost surely, 2122002200120011 is an apocalyptic number.

122002200120011 is a deficient number, since it is larger than the sum of its proper divisors (10577611295029).

122002200120011 is a wasteful number, since it uses less digits than its factorization.

122002200120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21489986.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122002200120011 its reverse (110021002200221), we get a palindrome (232023202320232).

The spelling of 122002200120011 in words is "one hundred twenty-two trillion, two billion, two hundred million, one hundred twenty thousand, eleven".

Divisors: 1 19 31 589 9643 183217 298933 5679727 21480293 408125567 665889083 12651892577 207134465399 3935554842581 6421168427369 122002200120011