Search a number
-
+
12172322112 = 2633112716103
BaseRepresentation
bin10110101011000011…
…01110010101000000
31011102022101000211220
423111201232111000
5144412103301422
65331503035040
7610433013366
oct132541562500
934368330756
1012172322112
115186a5a845
12243859ba80
1311bca7aa82
14836877636
154b395de5c
hex2d586e540

12172322112 has 112 divisors (see below), whose sum is σ = 33508687872. Its totient is φ = 3895395840.

The previous prime is 12172322111. The next prime is 12172322159. The reversal of 12172322112 is 21122327121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12172322111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747853 + ... + 763955.

Almost surely, 212172322112 is an apocalyptic number.

12172322112 is a gapful number since it is divisible by the number (12) 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 12172322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16754343936).

12172322112 is an abundant number, since it is smaller than the sum of its proper divisors (21336365760).

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

12172322112 is a wasteful number, since it uses less digits than its factorization.

12172322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16276 (or 16266 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

Adding to 12172322112 its reverse (21122327121), we get a palindrome (33294649233).

The spelling of 12172322112 in words is "twelve billion, one hundred seventy-two million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 186 192 248 254 372 381 496 508 744 762 992 1016 1488 1524 1984 2032 2976 3048 3937 4064 5952 6096 7874 8128 11811 12192 15748 16103 23622 24384 31496 32206 47244 48309 62992 64412 94488 96618 125984 128824 188976 193236 251968 257648 377952 386472 499193 515296 755904 772944 998386 1030592 1497579 1545888 1996772 2045081 2995158 3091776 3993544 4090162 5990316 6135243 7987088 8180324 11980632 12270486 15974176 16360648 23961264 24540972 31948352 32721296 47922528 49081944 63397511 65442592 95845056 98163888 126795022 130885184 190192533 196327776 253590044 380385066 392655552 507180088 760770132 1014360176 1521540264 2028720352 3043080528 4057440704 6086161056 12172322112