Search a number
-
+
12202100120221 = 112274886704093
BaseRepresentation
bin1011000110010000010111…
…0101111101101010011101
31121012111202100002221122021
42301210011311331222131
53044404400112321341
641541322321020141
72366400262464004
oct261440565755235
947174670087567
1012202100120221
113984977456450
121450a22784651
136a6864b3c53b
1430282897bc3b
151626109329d1
hexb1905d7da9d

12202100120221 has 8 divisors (see below), whose sum is σ = 13370022401184. Its totient is φ = 11043951247920.

The previous prime is 12202100120207. The next prime is 12202100120227.

It is a happy number.

12202100120221 is nontrivially palindromic in base 10.

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 12202100120221 - 239 = 11652344306333 is a prime.

It is a super-3 number, since 3×122021001202213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12202100120195 and 12202100120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202100120227) 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, 2443349550 + ... + 2443354543.

It is an arithmetic number, because the mean of its divisors is an integer number (1671252800148).

Almost surely, 212202100120221 is an apocalyptic number.

12202100120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202100120221 is a deficient number, since it is larger than the sum of its proper divisors (1167922280963).

12202100120221 is a wasteful number, since it uses less digits than its factorization.

12202100120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886704331.

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

It can be divided in two parts, 12202100 and 120221, that added together give a palindrome (12322321).

The spelling of 12202100120221 in words is "twelve trillion, two hundred two billion, one hundred million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 11 227 2497 4886704093 53753745023 1109281829111 12202100120221