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122120011110201 = 31329349346789237
BaseRepresentation
bin11011110001000101000111…
…111000011101011100111001
3121000101120002112200221201220
4123301011013320131130321
5112001303240321011301
61111421054132302253
734502610501246666
oct3361050770353471
9530346075627656
10122120011110201
1135a028956783a5
1211843814771989
13531ab38268390
1422228d6518a6d
15e1b94d580936
hex6f1147e1d739

122120011110201 has 64 divisors (see below), whose sum is σ = 181972701792000. Its totient is φ = 72329784339456.

The previous prime is 122120011110187. The next prime is 122120011110217. The reversal of 122120011110201 is 102011110021221.

It is a happy number.

It is not a de Polignac number, because 122120011110201 - 225 = 122119977555769 is a prime.

It is a super-2 number, since 2×1221200111102012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122120011110271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1368446155 + ... + 1368535391.

It is an arithmetic number, because the mean of its divisors is an integer number (2843323465500).

Almost surely, 2122120011110201 is an apocalyptic number.

It is an amenable number.

122120011110201 is a deficient number, since it is larger than the sum of its proper divisors (59852690681799).

122120011110201 is a wasteful number, since it uses less digits than its factorization.

122120011110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93098.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122120011110201 its reverse (102011110021221), we get a palindrome (224131121131422).

The spelling of 122120011110201 in words is "one hundred twenty-two trillion, one hundred twenty billion, eleven million, one hundred ten thousand, two hundred one".

Divisors: 1 3 13 29 39 87 349 377 1047 1131 3467 4537 10121 10401 13611 30363 45071 89237 100543 131573 135213 267711 301629 394719 1160081 1209983 1307059 2587873 3480243 3629949 3921177 7763619 15729779 31143713 33642349 35089507 47189337 93431139 100927047 105268521 309384679 404868269 456163591 903167677 928154037 1214604807 1368490773 2709503031 4022000827 8972155691 11741179801 12066002481 26916467073 35223539403 107975252971 116638023983 323925758913 349914071949 1403678288623 3131282336159 4211034865869 9393847008477 40706670370067 122120011110201