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12224014513000 = 235312224014513
BaseRepresentation
bin1011000111100010000000…
…0010101111001101101000
31121021121022120220110002021
42301320200002233031220
53100234240203404000
641555345034314224
72401104321653653
oct261704002571550
947247276813067
1012224014513000
1139931a2571064
121455119888974
136a8948019b64
143039071d689a
15162e947a111a
hexb1e200af368

12224014513000 has 32 divisors (see below), whose sum is σ = 28604193962760. Its totient is φ = 4889605804800.

The previous prime is 12224014512949. The next prime is 12224014513021. The reversal of 12224014513000 is 31541042221.

It can be written as a sum of positive squares in 4 ways, for example, as 5805179447236 + 6418835065764 = 2409394^2 + 2533542^2 .

It is a super-4 number, since 4×122240145130004 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6112006257 + ... + 6112008256.

Almost surely, 212224014513000 is an apocalyptic number.

12224014513000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12224014513000 is an abundant number, since it is smaller than the sum of its proper divisors (16380179449760).

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

12224014513000 is a wasteful number, since it uses less digits than its factorization.

12224014513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224014534 (or 12224014520 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12224014513000 its reverse (31541042221), we get a palindrome (12255555555221).

The spelling of 12224014513000 in words is "twelve trillion, two hundred twenty-four billion, fourteen million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12224014513 24448029026 48896058052 61120072565 97792116104 122240145130 244480290260 305600362825 488960580520 611200725650 1222401451300 1528001814125 2444802902600 3056003628250 6112007256500 12224014513000