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12441332220400 = 245231103330551
BaseRepresentation
bin1011010100001011100100…
…1100000000000111110000
31122001101020211111211010001
42311002321030000013300
53112314322022023100
642243245155115344
72422566545001556
oct265027114000760
948041224454101
1012441332220400
113a6738076a136
12148b268ba2b54
136c329c0b9c75
14310241259bd6
15168963257d6a
hexb50b93001f0

12441332220400 has 30 divisors (see below), whose sum is σ = 29890300660472. Its totient is φ = 4976532888000.

The previous prime is 12441332220391. The next prime is 12441332220467. The reversal of 12441332220400 is 402223314421.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15551664876 + ... + 15551665675.

Almost surely, 212441332220400 is an apocalyptic number.

12441332220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441332220400 is an abundant number, since it is smaller than the sum of its proper divisors (17448968440072).

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

12441332220400 is a wasteful number, since it uses less digits than its factorization.

12441332220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31103330569 (or 31103330558 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12441332220400 its reverse (402223314421), we get a palindrome (12843555534821).

The spelling of 12441332220400 in words is "twelve trillion, four hundred forty-one billion, three hundred thirty-two million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 31103330551 62206661102 124413322204 155516652755 248826644408 311033305510 497653288816 622066611020 777583263775 1244133222040 1555166527550 2488266444080 3110333055100 6220666110200 12441332220400