Search a number
-
+
122021201212101 = 32281454710611127
BaseRepresentation
bin11011101111101001000110…
…010110100111001011000101
3121000001010001022110001101100
4123233221012112213023011
5111443143410002241401
61111303433241250313
734462512055053222
oct3357510626471305
9530033038401340
10122021201212101
113597499aaa8494
1211828639493999
13531171c195a59
14221bc0156c949
15e190b8a78b86
hex6efa465a72c5

122021201212101 has 24 divisors (see below), whose sum is σ = 176918997587904. Its totient is φ = 81040140377280.

The previous prime is 122021201212061. The next prime is 122021201212117. The reversal of 122021201212101 is 101212102120221.

122021201212101 is a `hidden beast` number, since 1 + 220 + 21 + 201 + 212 + 10 + 1 = 666.

It is not a de Polignac number, because 122021201212101 - 217 = 122021201081029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021201212301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6193800 + ... + 16804926.

It is an arithmetic number, because the mean of its divisors is an integer number (7371624899496).

Almost surely, 2122021201212101 is an apocalyptic number.

It is an amenable number.

122021201212101 is a deficient number, since it is larger than the sum of its proper divisors (54897796375803).

122021201212101 is a wasteful number, since it uses less digits than its factorization.

122021201212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10615961 (or 10615958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122021201212101 its reverse (101212102120221), we get a palindrome (223233303332322).

The spelling of 122021201212101 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred one million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 281 843 2529 4547 13641 40923 1277707 3833121 10611127 11499363 31833381 95500143 2981726687 8945180061 26835540183 48248794469 144746383407 434239150221 13557911245789 40673733737367 122021201212101