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122120002201001 = 7232736127722281
BaseRepresentation
bin11011110001000101000111…
…010110011110010110101001
3121000101120001220221022121112
4123301011013112132112221
5112001303231030413001
61111421053213320105
734502610332442440
oct3361050726362651
9530346056838545
10122120002201001
1135a02890642822
1211843811796035
13531ab3646916c
1422228d5279d57
15e1b94c8c0cbb
hex6f114759e5a9

122120002201001 has 16 divisors (see below), whose sum is σ = 145639119376128. Its totient is φ = 100119568665600.

The previous prime is 122120002200941. The next prime is 122120002201007. The reversal of 122120002201001 is 100102200021221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122120002201001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122120002201007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9456020 + ... + 18266261.

It is an arithmetic number, because the mean of its divisors is an integer number (9102444961008).

Almost surely, 2122120002201001 is an apocalyptic number.

It is an amenable number.

122120002201001 is a deficient number, since it is larger than the sum of its proper divisors (23519117175127).

122120002201001 is a wasteful number, since it uses less digits than its factorization.

122120002201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27749672.

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

Adding to 122120002201001 its reverse (100102200021221), we get a palindrome (222222202222222).

The spelling of 122120002201001 in words is "one hundred twenty-two trillion, one hundred twenty billion, two million, two hundred one thousand, one".

Divisors: 1 7 23 161 27361 191527 629303 4405121 27722281 194055967 637612463 4463287241 758509330441 5309565313087 17445714600143 122120002201001