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22004011200000 = 2935517416577
BaseRepresentation
bin1010000000011001101010…
…10001010110111000000000
32212220120012101002102120210
411000030311101112320000
510341003203331400000
6114444300405034120
74430510624121414
oct500146521267000
985816171072523
1022004011200000
117013937751845
1225746369b5940
13c37c7a88b61b
14560ddd738d44
1528259509c350
hex140335456e00

22004011200000 has 960 divisors, whose sum is σ = 79484698028736. Its totient is φ = 5387059200000.

The previous prime is 22004011199851. The next prime is 22004011200049. The reversal of 22004011200000 is 211040022.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3345596712 + ... + 3345603288.

Almost surely, 222004011200000 is an apocalyptic number.

22004011200000 is a gapful number since it is divisible by the number (20) 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 22004011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39742349014368).

22004011200000 is an abundant number, since it is smaller than the sum of its proper divisors (57480686828736).

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

22004011200000 is an frugal number, since it uses more digits than its factorization.

22004011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22004011200000 its reverse (211040022), we get a palindrome (22004222240022).

The spelling of 22004011200000 in words is "twenty-two trillion, four billion, eleven million, two hundred thousand".