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12440220022224 = 243328796805607
BaseRepresentation
bin1011010100000111011011…
…1001010011010111010000
31122001021101022201022001000
42311001312321103113100
53112310032311202344
642242542544542000
72422530151322361
oct265016671232720
948037338638030
1012440220022224
113a6695a983195
12148abb8621900
136c3152858037
14310177663b68
151688ea7b2a69
hexb5076e535d0

12440220022224 has 40 divisors (see below), whose sum is σ = 35708038953920. Its totient is φ = 4146740007264.

The previous prime is 12440220022121. The next prime is 12440220022253. The reversal of 12440220022224 is 42222002204421.

12440220022224 is a `hidden beast` number, since 12 + 4 + 402 + 2 + 0 + 0 + 22 + 224 = 666.

12440220022224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14398402372 + ... + 14398403235.

It is an arithmetic number, because the mean of its divisors is an integer number (892700973848).

Almost surely, 212440220022224 is an apocalyptic number.

It is an amenable number.

12440220022224 is an abundant number, since it is smaller than the sum of its proper divisors (23267818931696).

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

12440220022224 is a wasteful number, since it uses less digits than its factorization.

12440220022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28796805624 (or 28796805612 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 12440220022224 its reverse (42222002204421), we get a palindrome (54662222226645).

The spelling of 12440220022224 in words is "twelve trillion, four hundred forty billion, two hundred twenty million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 28796805607 57593611214 86390416821 115187222428 172780833642 230374444856 259171250463 345561667284 460748889712 518342500926 691123334568 777513751389 1036685001852 1382246669136 1555027502778 2073370003704 3110055005556 4146740007408 6220110011112 12440220022224