Search a number
-
+
12221020202100 = 22352173771912173
BaseRepresentation
bin1011000111010110110110…
…0100010110010001110100
31121021022120220120200201120
42301311231210112101310
53100212122132431400
641554131552023540
72400640162514403
oct261655544262164
947238526520646
1012221020202100
1139919a6336a56
121454622b31bb0
136a858b877c68
1430370167163a
15162d6b982ca0
hexb1d6d916474

12221020202100 has 288 divisors, whose sum is σ = 38992942791936. Its totient is φ = 2942302003200.

The previous prime is 12221020202081. The next prime is 12221020202107. The reversal of 12221020202100 is 120202012221.

12221020202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221020202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221020202107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12941614 + ... + 13853786.

It is an arithmetic number, because the mean of its divisors is an integer number (135392162472).

Almost surely, 212221020202100 is an apocalyptic number.

12221020202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221020202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496471395968).

12221020202100 is an abundant number, since it is smaller than the sum of its proper divisors (26771922589836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221020202100 is a wasteful number, since it uses less digits than its factorization.

12221020202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912315 (or 912308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12221020202100 its reverse (120202012221), we get a palindrome (12341222214321).

The spelling of 12221020202100 in words is "twelve trillion, two hundred twenty-one billion, twenty million, two hundred two thousand, one hundred".