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122121002201 = 1124323471267
BaseRepresentation
bin111000110111011111…
…0101001110011011001
3102200012211012200112112
41301232332221303121
54000100434032301
6132033540522105
711552162251202
oct1615676516331
9380184180475
10122121002201
1147878138500
121b8020b0335
13b692749863
145ca6cdc5a9
15329b2ba9bb
hex1c6efa9cd9

122121002201 has 12 divisors (see below), whose sum is σ = 137353860336. Its totient is φ = 108437248920.

The previous prime is 122121002191. The next prime is 122121002219. The reversal of 122121002201 is 102200121221.

It is a de Polignac number, because none of the positive numbers 2k-122121002201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122121002261) 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, 11730431 + ... + 11740836.

It is an arithmetic number, because the mean of its divisors is an integer number (11446155028).

Almost surely, 2122121002201 is an apocalyptic number.

122121002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122121002201 is a deficient number, since it is larger than the sum of its proper divisors (15232858135).

122121002201 is a wasteful number, since it uses less digits than its factorization.

122121002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23471332 (or 23471321 counting only the distinct ones).

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

Adding to 122121002201 its reverse (102200121221), we get a palindrome (224321123422).

The spelling of 122121002201 in words is "one hundred twenty-two billion, one hundred twenty-one million, two thousand, two hundred one".

Divisors: 1 11 43 121 473 5203 23471267 258183937 1009264481 2840023307 11101909291 122121002201