Search a number
-
+
12551244120 = 23325191182537
BaseRepresentation
bin10111011000001110…
…01100100101011000
31012101201101021010100
423230013030211120
5201201104302440
65433240415400
7623013546312
oct135407144530
935351337110
1012551244120
115360939528
122523477560
13125041c38c
14870d127b2
154d6d5c230
hex2ec1cc958

12551244120 has 96 divisors (see below), whose sum is σ = 41005336320. Its totient is φ = 3329456640.

The previous prime is 12551244119. The next prime is 12551244127. The reversal of 12551244120 is 2144215521.

It is a happy number.

12551244120 is a `hidden beast` number, since 1 + 25 + 512 + 4 + 4 + 120 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12551244127) 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, 22509 + ... + 160028.

It is an arithmetic number, because the mean of its divisors is an integer number (427138920).

Almost surely, 212551244120 is an apocalyptic number.

12551244120 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 12551244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502668160).

12551244120 is an abundant number, since it is smaller than the sum of its proper divisors (28454092200).

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

12551244120 is a wasteful number, since it uses less digits than its factorization.

12551244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182745 (or 182738 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 12551244120 its reverse (2144215521), we get a palindrome (14695459641).

The spelling of 12551244120 in words is "twelve billion, five hundred fifty-one million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 955 1146 1528 1719 1910 2292 2865 3438 3820 4584 5730 6876 7640 8595 11460 13752 17190 22920 34380 68760 182537 365074 547611 730148 912685 1095222 1460296 1642833 1825370 2190444 2738055 3285666 3650740 4380888 5476110 6571332 7301480 8214165 10952220 13142664 16428330 21904440 32856660 34864567 65713320 69729134 104593701 139458268 174322835 209187402 278916536 313781103 348645670 418374804 522968505 627562206 697291340 836749608 1045937010 1255124412 1394582680 1568905515 2091874020 2510248824 3137811030 4183748040 6275622060 12551244120