Search a number
-
+
122120011212221 = 1130284693665819
BaseRepresentation
bin11011110001000101000111…
…111000110110010110111101
3121000101120002112220010200102
4123301011013320312112331
5112001303240332242341
61111421054134410445
734502610502153301
oct3361050770662675
9530346075803612
10122120011212221
1135a02895738010
1211843814800a25
13531ab382a2949
1422228d6543d01
15e1b94d5a0c9b
hex6f1147e365bd

122120011212221 has 8 divisors (see below), whose sum is σ = 133221910744800. Its totient is φ = 111018125068240.

The previous prime is 122120011212197. The next prime is 122120011212239. The reversal of 122120011212221 is 122212110021221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122120011212221 - 234 = 122102831343037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122120011212193 and 122120011212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120011217221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31480250 + ... + 35146068.

It is an arithmetic number, because the mean of its divisors is an integer number (16652738843100).

Almost surely, 2122120011212221 is an apocalyptic number.

122120011212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122120011212221 is a deficient number, since it is larger than the sum of its proper divisors (11101899532579).

122120011212221 is a wasteful number, since it uses less digits than its factorization.

122120011212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694299.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122120011212221 its reverse (122212110021221), we get a palindrome (244332121233442).

It can be divided in two parts, 1221200 and 11212221, that added together give a palindrome (12433421).

The spelling of 122120011212221 in words is "one hundred twenty-two trillion, one hundred twenty billion, eleven million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 3028469 3665819 33313159 40324009 11101819201111 122120011212221