Search a number
-
+
12454992261120 = 212351965316339
BaseRepresentation
bin1011010100111110011101…
…1000111011000000000000
31122002200111211021210020010
42311033213120323000000
53113030311004323440
642253424445144520
72423562214302303
oct265174730730000
948080454253203
1012454992261120
113a72150480992
121491a3b85b140
136c4668149bb6
14310b7951ab3a
15168eb25d7580
hexb53e763b000

12454992261120 has 416 divisors, whose sum is σ = 42015347884800. Its totient is φ = 3141513510912.

The previous prime is 12454992261097. The next prime is 12454992261133. The reversal of 12454992261120 is 2116229945421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12454992261120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762277911 + ... + 762294249.

Almost surely, 212454992261120 is an apocalyptic number.

12454992261120 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 12454992261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007673942400).

12454992261120 is an abundant number, since it is smaller than the sum of its proper divisors (29560355623680).

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

12454992261120 is a wasteful number, since it uses less digits than its factorization.

12454992261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17043 (or 17021 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 12454992261120 in words is "twelve trillion, four hundred fifty-four billion, nine hundred ninety-two million, two hundred sixty-one thousand, one hundred twenty".