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12241104230400 = 211352757105277
BaseRepresentation
bin1011001000100001101010…
…1010110101100000000000
31121100020102121020001010120
42302020122222311200000
53101024240140333100
642011252522300240
72402250655112643
oct262103252654000
947306377201116
1012241104230400
11399a472238751
1214584a9057680
136aa43c793686
14304688b8ba5a
15163644c9b0a0
hexb221aab5800

12241104230400 has 288 divisors, whose sum is σ = 40521211632720. Its totient is φ = 3259951349760.

The previous prime is 12241104230389. The next prime is 12241104230431. The reversal of 12241104230400 is 403240114221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116222562 + ... + 116327838.

Almost surely, 212241104230400 is an apocalyptic number.

12241104230400 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 12241104230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260605816360).

12241104230400 is an abundant number, since it is smaller than the sum of its proper divisors (28280107402320).

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

12241104230400 is a wasteful number, since it uses less digits than its factorization.

12241104230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106069 (or 106044 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12241104230400 its reverse (403240114221), we get a palindrome (12644344344621).

The spelling of 12241104230400 in words is "twelve trillion, two hundred forty-one billion, one hundred four million, two hundred thirty thousand, four hundred".