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12411322040 = 23513163181809
BaseRepresentation
bin10111000111100010…
…11011111010111000
31012000222002111010002
423203301123322320
5200404244301130
65411321412132
7616364332235
oct134361337270
935028074102
1012411322040
11529995aa47
1224a463a048
13122a43b650
1485a4cc78c
154c991db45
hex2e3c5beb8

12411322040 has 128 divisors (see below), whose sum is σ = 30462868800. Its totient is φ = 4523765760.

The previous prime is 12411322003. The next prime is 12411322061. The reversal of 12411322040 is 4022311421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 15341156 + ... + 15341964.

Almost surely, 212411322040 is an apocalyptic number.

12411322040 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 12411322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15231434400).

12411322040 is an abundant number, since it is smaller than the sum of its proper divisors (18051546760).

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

12411322040 is a wasteful number, since it uses less digits than its factorization.

12411322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12411322040 its reverse (4022311421), we get a palindrome (16433633461).

The spelling of 12411322040 in words is "twelve billion, four hundred eleven million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 163 181 260 326 362 520 652 724 809 815 905 1304 1448 1618 1630 1810 2119 2353 3236 3260 3620 4045 4238 4706 6472 6520 7240 8090 8476 9412 10517 10595 11765 16180 16952 18824 21034 21190 23530 29503 32360 42068 42380 47060 52585 59006 84136 84760 94120 105170 118012 131867 146429 147515 210340 236024 263734 292858 295030 383539 420680 527468 585716 590060 659335 732145 767078 1054936 1171432 1180120 1318670 1464290 1534156 1714271 1903577 1917695 2637340 2928580 3068312 3428542 3807154 3835390 5274680 5857160 6857084 7614308 7670780 8571355 9517885 13714168 15228616 15341560 17142710 19035770 23867927 34285420 38071540 47735854 68570840 76143080 95471708 119339635 190943416 238679270 310283051 477358540 620566102 954717080 1241132204 1551415255 2482264408 3102830510 6205661020 12411322040