Search a number
-
+
12251208780 = 22325174003663
BaseRepresentation
bin10110110100011101…
…01001110001001100
31011121210210220000100
423122032221301030
5200042302140110
65343401531100
7612411361566
oct133216516114
934553726010
1012251208780
115217540538
12245aaa3a90
13120320b485
14843130336
154ba842bc0
hex2da3a9c4c

12251208780 has 72 divisors (see below), whose sum is σ = 39348009792. Its totient is φ = 3074812416.

The previous prime is 12251208709. The next prime is 12251208817. The reversal of 12251208780 is 8780215221.

12251208780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122512087802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998772 + ... + 2004891.

It is an arithmetic number, because the mean of its divisors is an integer number (546500136).

Almost surely, 212251208780 is an apocalyptic number.

12251208780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12251208780 is an abundant number, since it is smaller than the sum of its proper divisors (27096801012).

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

12251208780 is a wasteful number, since it uses less digits than its factorization.

12251208780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003695 (or 4003690 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12251208780 in words is "twelve billion, two hundred fifty-one million, two hundred eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4003663 8007326 12010989 16014652 20018315 24021978 36032967 40036630 48043956 60054945 68062271 72065934 80073260 120109890 136124542 144131868 180164835 204186813 240219780 272249084 340311355 360329670 408373626 612560439 680622710 720659340 816747252 1020934065 1225120878 1361245420 2041868130 2450241756 3062802195 4083736260 6125604390 12251208780