Search a number
-
+
12102210221220 = 223257883108710007
BaseRepresentation
bin1011000000011100001111…
…1100001111010010100100
31120211221220211122022120100
42300013003330033102210
53041240311304034340
641423402325504100
72356233023400450
oct260070374172244
946757824568510
1012102210221220
113946578190909
1214355a5872030
1369a30609c122
142dba703bb660
1515ec161e5830
hexb01c3f0f4a4

12102210221220 has 288 divisors, whose sum is σ = 42044683419648. Its totient is φ = 2760268928256.

The previous prime is 12102210221209. The next prime is 12102210221237. The reversal of 12102210221220 is 2212201220121.

It is a happy number.

12102210221220 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 221 + 0 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102210221193 and 12102210221202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209369457 + ... + 1209379463.

It is an arithmetic number, because the mean of its divisors is an integer number (145988484096).

Almost surely, 212102210221220 is an apocalyptic number.

12102210221220 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 12102210221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022341709824).

12102210221220 is an abundant number, since it is smaller than the sum of its proper divisors (29942473198428).

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

12102210221220 is a wasteful number, since it uses less digits than its factorization.

12102210221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12102210221220 its reverse (2212201220121), we get a palindrome (14314411441341).

The spelling of 12102210221220 in words is "twelve trillion, one hundred two billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".