Search a number
-
+
12210222101000 = 2353711909117443
BaseRepresentation
bin1011000110101110100111…
…1100110111001000001000
31121020021201101001022201012
42301223221330313020020
53100023013324213000
641545144255143052
72400105454255160
oct261535174671010
947207641038635
1012210222101000
113988365068860
12145250a814a88
136a755a721021
14302d995195a0
151629389c5735
hexb1ae9f37208

12210222101000 has 256 divisors, whose sum is σ = 35628094494720. Its totient is φ = 3805146720000.

The previous prime is 12210222100997. The next prime is 12210222101003. The reversal of 12210222101000 is 10122201221.

12210222101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12210222100997) and next prime (12210222101003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12210222101003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699998279 + ... + 700015721.

It is an arithmetic number, because the mean of its divisors is an integer number (139172244120).

Almost surely, 212210222101000 is an apocalyptic number.

12210222101000 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 12210222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17814047247360).

12210222101000 is an abundant number, since it is smaller than the sum of its proper divisors (23417872393720).

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

12210222101000 is a wasteful number, since it uses less digits than its factorization.

12210222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26573 (or 26559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12210222101000 its reverse (10122201221), we get a palindrome (12220344302221).

The spelling of 12210222101000 in words is "twelve trillion, two hundred ten billion, two hundred twenty-two million, one hundred one thousand".