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11222132220000 = 25325413101103461
BaseRepresentation
bin1010001101001101101100…
…1101000110000001100000
31110201211021200121122000200
42203103123031012001200
52432330411322020000
635511213143545200
72235525616664142
oct243233315060140
943654250548020
1011222132220000
113637309094619
121312b1145b200
1363531caaa2a0
142ab222bb4c92
15146da7b78500
hexa34db346060

11222132220000 has 1440 divisors, whose sum is σ = 43887259031616. Its totient is φ = 2702592000000.

The previous prime is 11222132219983. The next prime is 11222132220001. The reversal of 11222132220000 is 2223122211.

11222132220000 is a `hidden beast` number, since 1 + 122 + 21 + 322 + 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 not an unprimeable number, because it can be changed into a prime (11222132220001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24343019770 + ... + 24343020230.

Almost surely, 211222132220000 is an apocalyptic number.

11222132220000 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 11222132220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943629515808).

11222132220000 is an abundant number, since it is smaller than the sum of its proper divisors (32665126811616).

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

11222132220000 is a wasteful number, since it uses less digits than its factorization.

11222132220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11222132220000 its reverse (2223122211), we get a palindrome (11224355342211).

The spelling of 11222132220000 in words is "eleven trillion, two hundred twenty-two billion, one hundred thirty-two million, two hundred twenty thousand".