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13222033020000 = 253254743733343
BaseRepresentation
bin1100000001100111111010…
…0101001101010001100000
31201211000101012210121011200
43000121332211031101200
53213112210423120000
644042041302441200
72533155206211330
oct300317645152140
951730335717150
1013222033020000
114238483a3aa32
121596628133200
1374baa891b01c
14339d424010c0
1517de070ad500
hexc067e94d460

13222033020000 has 1440 divisors, whose sum is σ = 55715442951168. Its totient is φ = 2910587904000.

The previous prime is 13222033019977. The next prime is 13222033020017. The reversal of 13222033020000 is 2033022231.

It is a happy number.

13222033020000 is a `hidden beast` number, since 132 + 2 + 2 + 0 + 330 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 3955138329 + ... + 3955141671.

Almost surely, 213222033020000 is an apocalyptic number.

13222033020000 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 13222033020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27857721475584).

13222033020000 is an abundant number, since it is smaller than the sum of its proper divisors (42493409931168).

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

13222033020000 is a wasteful number, since it uses less digits than its factorization.

13222033020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13222033020000 its reverse (2033022231), we get a palindrome (13224066042231).

The spelling of 13222033020000 in words is "thirteen trillion, two hundred twenty-two billion, thirty-three million, twenty thousand".