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22201012011220 = 2257319493134543
BaseRepresentation
bin1010000110001000100110…
…11011110100000011010100
32220121101200200212112112021
411003010103123310003110
510402220133033324340
6115115000520102524
74450653526312000
oct503042333640324
986541620775467
1022201012011220
11708a43a557029
1225a6856004a44
13c5071471b583
1456a76b385700
1528777508ce4a
hex1431136f40d4

22201012011220 has 192 divisors, whose sum is σ = 57244658688000. Its totient is φ = 7209484652160.

The previous prime is 22201012011179. The next prime is 22201012011223. The reversal of 22201012011220 is 2211021010222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22201012011194 and 22201012011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201012011223) 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 63 ways as a sum of consecutive naturals, for example, 642689269 + ... + 642723811.

It is an arithmetic number, because the mean of its divisors is an integer number (298149264000).

Almost surely, 222201012011220 is an apocalyptic number.

22201012011220 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 22201012011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28622329344000).

22201012011220 is an abundant number, since it is smaller than the sum of its proper divisors (35043646676780).

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

22201012011220 is a wasteful number, since it uses less digits than its factorization.

22201012011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39523 (or 39507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22201012011220 its reverse (2211021010222), we get a palindrome (24412033021442).

The spelling of 22201012011220 in words is "twenty-two trillion, two hundred one billion, twelve million, eleven thousand, two hundred twenty".