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122212001001 = 3198391928109
BaseRepresentation
bin111000111010001100…
…1110010010011101001
3102200110011102220102110
41301310121302103221
54000242233013001
6132050551152533
711554345603626
oct1616431622351
9380404386373
10122212001001
1147914541222
121b828675749
13b6a855b2bc
145cb502934d
1532a42933d6
hex1c746724e9

122212001001 has 32 divisors (see below), whose sum is σ = 173787264000. Its totient is φ = 76170881088.

The previous prime is 122212000921. The next prime is 122212001053. The reversal of 122212001001 is 100100212221.

It is not a de Polignac number, because 122212001001 - 214 = 122211984617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122212001101) 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 31 ways as a sum of consecutive naturals, for example, 4333735 + ... + 4361843.

It is an arithmetic number, because the mean of its divisors is an integer number (5430852000).

Almost surely, 2122212001001 is an apocalyptic number.

It is an amenable number.

122212001001 is a deficient number, since it is larger than the sum of its proper divisors (51575262999).

122212001001 is a wasteful number, since it uses less digits than its factorization.

122212001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29133.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122212001001 its reverse (100100212221), we get a palindrome (222312213222).

The spelling of 122212001001 in words is "one hundred twenty-two billion, two hundred twelve million, one thousand, one".

Divisors: 1 3 19 57 83 249 919 1577 2757 4731 17461 28109 52383 76277 84327 228831 534071 1449263 1602213 2333047 4347789 6999141 25832171 44327893 77496513 132983679 490811249 1472433747 2144070193 6432210579 40737333667 122212001001