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13222022220000 = 253254116677789
BaseRepresentation
bin1100000001100111110111…
…1100000000100011100000
31201211000100110110220100200
43000121331330000203200
53213112200142020000
644042040235145200
72533155015340416
oct300317574004340
951730313426320
1013222022220000
114238478933810
1215966245a5200
1374baa66092a9
14339d40bcd2b6
1517de06178500
hexc067df008e0

13222022220000 has 360 divisors, whose sum is σ = 51256499013720. Its totient is φ = 3205338240000.

The previous prime is 13222022219957. The next prime is 13222022220007. The reversal of 13222022220000 is 2222022231.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222022220007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1358895 + ... + 5318894.

It is an arithmetic number, because the mean of its divisors is an integer number (142379163927).

Almost surely, 213222022220000 is an apocalyptic number.

13222022220000 is a gapful number since it is divisible by the number (10) 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 13222022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628249506860).

13222022220000 is an abundant number, since it is smaller than the sum of its proper divisors (38034476793720).

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

13222022220000 is a wasteful number, since it uses less digits than its factorization.

13222022220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677836 (or 6677810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13222022220000 its reverse (2222022231), we get a palindrome (13224244242231).

The spelling of 13222022220000 in words is "thirteen trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty thousand".