Search a number
-
+
12220021212101 = 175341381168457
BaseRepresentation
bin1011000111010011001000…
…0001100000001111000101
31121021020000021210202001222
42301310302001200033011
53100203100412241401
641553444504130125
72400603342321203
oct261646201401705
947236007722058
1012220021212101
113991533442a8a
1214543a4466945
136a845c902711
14303648b08073
15162d0de00c1b
hexb1d320603c5

12220021212101 has 8 divisors (see below), whose sum is σ = 12227360188824. Its totient is φ = 12212682658560.

The previous prime is 12220021212083. The next prime is 12220021212109. The reversal of 12220021212101 is 10121212002221.

It can be written as a sum of positive squares in 4 ways, for example, as 15444027076 + 12204577185025 = 124274^2 + 3493505^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220021212101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12220021212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220021212109) 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, 72456665 + ... + 72625121.

It is an arithmetic number, because the mean of its divisors is an integer number (1528420023603).

Almost surely, 212220021212101 is an apocalyptic number.

It is an amenable number.

12220021212101 is a deficient number, since it is larger than the sum of its proper divisors (7338976723).

12220021212101 is a wasteful number, since it uses less digits than its factorization.

12220021212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211591.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12220021212101 its reverse (10121212002221), we get a palindrome (22341233214322).

The spelling of 12220021212101 in words is "twelve trillion, two hundred twenty billion, twenty-one million, two hundred twelve thousand, one hundred one".

Divisors: 1 1753 41381 168457 72540893 295305121 6970919117 12220021212101