Search a number
-
+
12102201300000 = 25355721037993
BaseRepresentation
bin1011000000011100001101…
…1010001101010000100000
31120211221220012212001221210
42300013003122031100200
53041240302013100000
641423401410350120
72356232554513200
oct260070332152040
946757805761853
1012102201300000
1139465731481a9
1214355a288b340
1369a3042975b6
142dba6d138400
1515ec15532350
hexb01c368d420

12102201300000 has 864 divisors, whose sum is σ = 46645002278784. Its totient is φ = 2739018240000.

The previous prime is 12102201299971. The next prime is 12102201300131. The reversal of 12102201300000 is 310220121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1514096004 + ... + 1514103996.

It is an arithmetic number, because the mean of its divisors is an integer number (53987271156).

Almost surely, 212102201300000 is an apocalyptic number.

12102201300000 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 12102201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23322501139392).

12102201300000 is an abundant number, since it is smaller than the sum of its proper divisors (34542800978784).

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

12102201300000 is an equidigital number, since it uses as much as digits as its factorization.

12102201300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12102201300000 its reverse (310220121), we get a palindrome (12102511520121).

The spelling of 12102201300000 in words is "twelve trillion, one hundred two billion, two hundred one million, three hundred thousand".