Search a number
-
+
12217512725754 = 23717193137221221
BaseRepresentation
bin1011000111001001110010…
…0000011000110011111010
31121020222112110122102201020
42301302130200120303322
53100132431224211004
641552351534403310
72400454232456010
oct261623440306372
947228473572636
1012217512725754
113990466473076
121453a04360536
136a814ccc167b
1430348b8c88b0
15162c13a9a8d9
hexb1c9c818cfa

12217512725754 has 384 divisors, whose sum is σ = 33022056775680. Its totient is φ = 2930519347200.

The previous prime is 12217512725713. The next prime is 12217512725813. The reversal of 12217512725754 is 45752721571221.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 12217512725697 and 12217512725706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 575716864 + ... + 575738084.

It is an arithmetic number, because the mean of its divisors is an integer number (85994939520).

Almost surely, 212217512725754 is an apocalyptic number.

12217512725754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12217512725754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511028387840).

12217512725754 is an abundant number, since it is smaller than the sum of its proper divisors (20804544049926).

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

12217512725754 is a wasteful number, since it uses less digits than its factorization.

12217512725754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374 (or 21337 counting only the distinct ones).

The product of its digits is 2744000, while the sum is 51.

The spelling of 12217512725754 in words is "twelve trillion, two hundred seventeen billion, five hundred twelve million, seven hundred twenty-five thousand, seven hundred fifty-four".