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12320112400 = 245230800281
BaseRepresentation
bin10110111100101010…
…11111111100010000
31011210121110120000021
423132111133330100
5200212422044100
65354302433224
7614206141021
oct133625377420
934717416007
1012320112400
115252422882
122479b92814
131214584c4b
1484c348c48
154c1903a1a
hex2de55ff10

12320112400 has 30 divisors (see below), whose sum is σ = 29599071002. Its totient is φ = 4928044800.

The previous prime is 12320112379. The next prime is 12320112401. The reversal of 12320112400 is 421102321.

It can be written as a sum of positive squares in 3 ways, for example, as 10653696 + 12309458704 = 3264^2 + 110948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12320112401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15399741 + ... + 15400540.

Almost surely, 212320112400 is an apocalyptic number.

12320112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320112400 is an abundant number, since it is smaller than the sum of its proper divisors (17278958602).

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

12320112400 is a wasteful number, since it uses less digits than its factorization.

12320112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30800299 (or 30800288 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12320112400 its reverse (421102321), we get a palindrome (12741214721).

The spelling of 12320112400 in words is "twelve billion, three hundred twenty million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30800281 61600562 123201124 154001405 246402248 308002810 492804496 616005620 770007025 1232011240 1540014050 2464022480 3080028100 6160056200 12320112400