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12403102400 = 2652135311251
BaseRepresentation
bin10111000110100100…
…00101001011000000
31012000101121212212222
423203102011023000
5200400143234100
65410425310212
7616234426253
oct134322051300
935011555788
1012403102400
115295256457
1224a1935368
131228821260
1485938d09a
154c8d48485
hex2e34852c0

12403102400 has 168 divisors, whose sum is σ = 33490137744. Its totient is φ = 4492800000.

The previous prime is 12403102373. The next prime is 12403102409. The reversal of 12403102400 is 420130421.

It is not an unprimeable number, because it can be changed into a prime (12403102409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096775 + ... + 1108025.

It is an arithmetic number, because the mean of its divisors is an integer number (199346058).

Almost surely, 212403102400 is an apocalyptic number.

12403102400 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 12403102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745068872).

12403102400 is an abundant number, since it is smaller than the sum of its proper divisors (21087035344).

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

12403102400 is a wasteful number, since it uses less digits than its factorization.

12403102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12403102400 its reverse (420130421), we get a palindrome (12823232821).

The spelling of 12403102400 in words is "twelve billion, four hundred three million, one hundred two thousand, four hundred".