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122120000221 = 2331117072557
BaseRepresentation
bin111000110111011101…
…0110101001011011101
3102200012202022210002011
41301232322311023131
54000100210001341
6132033503231221
711552150606032
oct1615672651335
9380182283064
10122120000221
114787761371a
121b8018a8511
13b69248877b
145ca6b1b389
15329b16db81
hex1c6eeb52dd

122120000221 has 8 divisors (see below), whose sum is σ = 127839314304. Its totient is φ = 116434831920.

The previous prime is 122120000209. The next prime is 122120000251. The reversal of 122120000221 is 122000021221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122120000221 - 227 = 121985782493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120000201) 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 7 ways as a sum of consecutive naturals, for example, 8529126 + ... + 8543431.

It is an arithmetic number, because the mean of its divisors is an integer number (15979914288).

Almost surely, 2122120000221 is an apocalyptic number.

It is an amenable number.

122120000221 is a deficient number, since it is larger than the sum of its proper divisors (5719314083).

122120000221 is a wasteful number, since it uses less digits than its factorization.

122120000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17072891.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122120000221 its reverse (122000021221), we get a palindrome (244120021442).

The spelling of 122120000221 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 23 311 7153 17072557 392668811 5309565227 122120000221