Search a number
-
+
122123020321221 = 3223398774577717
BaseRepresentation
bin11011110001000111111011…
…001111101100000111000101
3121000101211212021001201012220
4123301013323033230013011
5112001330421200234341
61111422312510202553
734503045201154653
oct3361077317540705
9530354767051186
10122123020321221
1135a0409a25a157
12118443144b3459
13531b1c782630a
142222b0003bdd3
15e1ba77843a66
hex6f11fb3ec1c5

122123020321221 has 16 divisors (see below), whose sum is σ = 163565013609984. Its totient is φ = 81048205427904.

The previous prime is 122123020321193. The next prime is 122123020321229.

122123020321221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122123020321221 - 235 = 122088660582853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122123020321191 and 122123020321200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123020321229) 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, 24388855 + ... + 28966571.

It is an arithmetic number, because the mean of its divisors is an integer number (10222813350624).

Almost surely, 2122123020321221 is an apocalyptic number.

It is an amenable number.

122123020321221 is a deficient number, since it is larger than the sum of its proper divisors (41441993288763).

122123020321221 is a wasteful number, since it uses less digits than its factorization.

122123020321221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617820.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 122123020321221 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, twenty million, three hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 223 669 39877 119631 4577717 8892571 13733151 26677713 1020830891 3062492673 182545620809 547636862427 40707673440407 122123020321221