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12224403431240 = 23571113751406531
BaseRepresentation
bin1011000111100011011100…
…1110010101111101001000
31121021122022200201112121112
42301320313032111331020
53100241034234244430
641555451410225452
72401120053502250
oct261706716257510
947248280645545
1012224403431240
1139933820580a0
121455207b85288
136a89aa77b3b0
14303942b14960
15162eb89c6195
hexb1e37395f48

12224403431240 has 256 divisors, whose sum is σ = 36978931261440. Its totient is φ = 3512419200000.

The previous prime is 12224403431203. The next prime is 12224403431249. The reversal of 12224403431240 is 4213430442221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12224403431197 and 12224403431206.

It is not an unprimeable number, because it can be changed into a prime (12224403431249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29866775 + ... + 30273305.

It is an arithmetic number, because the mean of its divisors is an integer number (144448950240).

Almost surely, 212224403431240 is an apocalyptic number.

12224403431240 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 12224403431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489465630720).

12224403431240 is an abundant number, since it is smaller than the sum of its proper divisors (24754527830200).

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

12224403431240 is a wasteful number, since it uses less digits than its factorization.

12224403431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407324 (or 407320 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12224403431240 its reverse (4213430442221), we get a palindrome (16437833873461).

The spelling of 12224403431240 in words is "twelve trillion, two hundred twenty-four billion, four hundred three million, four hundred thirty-one thousand, two hundred forty".