Search a number
-
+
122220120121 = 1131335498147
BaseRepresentation
bin111000111010011100…
…0110000100000111001
3102200110201201101202121
41301310320300200321
54000301322320441
6132051441201241
711554504610551
oct1616470604071
9380421641677
10122220120121
1147919087240
121b82b330221
13b6aa141a08
145cb6140161
1532a4d48dd1
hex1c74e30839

122220120121 has 8 divisors (see below), whose sum is σ = 133757021664. Its totient is φ = 110754215520.

The previous prime is 122220120107. The next prime is 122220120137. The reversal of 122220120121 is 121021022221.

It is a happy number.

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 122220120121 - 213 = 122220111929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122220120095 and 122220120104.

It is not an unprimeable number, because it can be changed into a prime (122220120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17745631 + ... + 17752516.

It is an arithmetic number, because the mean of its divisors is an integer number (16719627708).

Almost surely, 2122220120121 is an apocalyptic number.

122220120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122220120121 is a deficient number, since it is larger than the sum of its proper divisors (11536901543).

122220120121 is a wasteful number, since it uses less digits than its factorization.

122220120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35498471.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122220120121 its reverse (121021022221), we get a palindrome (243241142342).

The spelling of 122220120121 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 11 313 3443 35498147 390479617 11110920011 122220120121