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122020221001 = 7592779671103
BaseRepresentation
bin111000110100011111…
…0001101000001001001
3102122221210120110201111
41301220332031001021
53444344134033001
6132015540450321
711546526523360
oct1615076150111
9378853513644
10122020221001
1147826263058
121b7943a99a1
13b6778c1603
145c977867d7
15329250e851
hex1c68f8d049

122020221001 has 32 divisors (see below), whose sum is σ = 142603591680. Its totient is φ = 102246169536.

The previous prime is 122020220989. The next prime is 122020221049. The reversal of 122020221001 is 100122020221.

It is a happy number.

It is not a de Polignac number, because 122020221001 - 217 = 122020089929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122020221601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110625216 + ... + 110626318.

It is an arithmetic number, because the mean of its divisors is an integer number (4456362240).

Almost surely, 2122020221001 is an apocalyptic number.

It is an amenable number.

122020221001 is a deficient number, since it is larger than the sum of its proper divisors (20583370679).

122020221001 is a wasteful number, since it uses less digits than its factorization.

122020221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413.

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

Adding to 122020221001 its reverse (100122020221), we get a palindrome (222142241222).

The spelling of 122020221001 in words is "one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, one".

Divisors: 1 7 59 277 413 967 1103 1939 6769 7721 16343 57053 65077 114401 267859 305531 399371 455539 1066601 1875013 2138717 7466207 15803681 18026329 62929459 110625767 126184303 295448477 440506213 2068139339 17431460143 122020221001