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1213420004224 = 27231759234319
BaseRepresentation
bin10001101010000101011…
…101111110001110000000
311022000001022210221220221
4101222011131332032000
5124340041010113344
62325234253512424
7153444451566541
oct21520535761600
94260038727827
101213420004224
11428676a5a97a
12177203aa2714
138a56a9b32cc
1442a309844c8
152186ce53184
hex11a8577e380

1213420004224 has 64 divisors (see below), whose sum is σ = 2523907584000. Its totient is φ = 579998909952.

The previous prime is 1213420004221. The next prime is 1213420004249. The reversal of 1213420004224 is 4224000243121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213420004221) by changing a digit.

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, 5061337 + ... + 5295655.

It is an arithmetic number, because the mean of its divisors is an integer number (39436056000).

Almost surely, 21213420004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213420004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261953792000).

1213420004224 is an abundant number, since it is smaller than the sum of its proper divisors (1310487579776).

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

1213420004224 is a wasteful number, since it uses less digits than its factorization.

1213420004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236115 (or 236103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1213420004224 its reverse (4224000243121), we get a palindrome (5437420247345).

The spelling of 1213420004224 in words is "one trillion, two hundred thirteen billion, four hundred twenty million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 1759 2944 3518 7036 14072 28144 40457 56288 80914 112576 161828 225152 234319 323656 468638 647312 937276 1294624 1874552 2589248 3749104 5178496 5389337 7498208 10778674 14996416 21557348 29992832 43114696 86229392 172458784 344917568 412167121 689835136 824334242 1648668484 3297336968 6594673936 9479843783 13189347872 18959687566 26378695744 37919375132 52757391488 75838750264 151677500528 303355001056 606710002112 1213420004224