Search a number
-
+
12325502121600 = 273524637276883
BaseRepresentation
bin1011001101011100000100…
…1011001111011010000000
31121122022021102202010200210
42303113001023033122000
53103420112020342400
642114131342114120
72411326301260533
oct263270113173200
947568242663623
1012325502121600
113a22241693558
12147092187b940
136b539caa0675
143087b3a52a1a
151659343d8950
hexb35c12cf680

12325502121600 has 192 divisors, whose sum is σ = 40606024307040. Its totient is φ = 3286079877120.

The previous prime is 12325502121599. The next prime is 12325502121613. The reversal of 12325502121600 is 612120552321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×123255021216002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44376759 + ... + 44653641.

Almost surely, 212325502121600 is an apocalyptic number.

12325502121600 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 12325502121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303012153520).

12325502121600 is an abundant number, since it is smaller than the sum of its proper divisors (28280522185440).

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

12325502121600 is a wasteful number, since it uses less digits than its factorization.

12325502121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281547 (or 281530 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 12325502121600 its reverse (612120552321), we get a palindrome (12937622673921).

The spelling of 12325502121600 in words is "twelve trillion, three hundred twenty-five billion, five hundred two million, one hundred twenty-one thousand, six hundred".