Search a number
-
+
12235103334400 = 212521516471223
BaseRepresentation
bin1011001000001011010011…
…1111001111000000000000
31121022122221101110221101011
42302002310333033000000
53100424442423200100
642004421234250304
72401646160253222
oct262026477170000
947278841427334
1012235103334400
113997972955771
1214572b3426994
136a99c4472b3b
14304279bc8412
151633e3037bba
hexb20b4fcf000

12235103334400 has 312 divisors, whose sum is σ = 30612488246784. Its totient is φ = 4850147328000.

The previous prime is 12235103334383. The next prime is 12235103334403. The reversal of 12235103334400 is 443330153221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12235103334403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10004172189 + ... + 10004173411.

Almost surely, 212235103334400 is an apocalyptic number.

12235103334400 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 12235103334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306244123392).

12235103334400 is an abundant number, since it is smaller than the sum of its proper divisors (18377384912384).

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

12235103334400 is a wasteful number, since it uses less digits than its factorization.

12235103334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 12235103334400 its reverse (443330153221), we get a palindrome (12678433487621).

The spelling of 12235103334400 in words is "twelve trillion, two hundred thirty-five billion, one hundred three million, three hundred thirty-four thousand, four hundred".