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12322002440 = 2351161459091
BaseRepresentation
bin10110111100111001…
…01101011000001000
31011210202000120122202
423132130231120020
5200213413034230
65354411135332
7614231202236
oct133634553010
934722016582
1012322002440
1152534a38a0
12247a744548
131214a97307
1484c6bb956
154c1b78a45
hex2de72d608

12322002440 has 64 divisors (see below), whose sum is σ = 30740800320. Its totient is φ = 4407264000.

The previous prime is 12322002437. The next prime is 12322002443. The reversal of 12322002440 is 4420022321.

12322002440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12322002437) and next prime (12322002443).

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

It is not an unprimeable number, because it can be changed into a prime (12322002443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 202706 + ... + 256385.

It is an arithmetic number, because the mean of its divisors is an integer number (480325005).

Almost surely, 212322002440 is an apocalyptic number.

12322002440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322002440 is an abundant number, since it is smaller than the sum of its proper divisors (18418797880).

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

12322002440 is a wasteful number, since it uses less digits than its factorization.

12322002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459174 (or 459170 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12322002440 its reverse (4420022321), we get a palindrome (16742024761).

The spelling of 12322002440 in words is "twelve billion, three hundred twenty-two million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 5368 6710 13420 26840 459091 918182 1836364 2295455 3672728 4590910 5050001 9181820 10100002 18363640 20200004 25250005 28004551 40400008 50500010 56009102 101000020 112018204 140022755 202000040 224036408 280045510 308050061 560091020 616100122 1120182040 1232200244 1540250305 2464400488 3080500610 6161001220 12322002440