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11121222000000 = 273567264791
BaseRepresentation
bin1010000111010101110001…
…1111001001110110000000
31110101011211002020022200010
42201311130133021312000
52424202230313000000
635353004023424520
72225324151163050
oct241653437116600
943334732208603
1011121222000000
1135a8535986792
1212b744a8b5140
1362895a836438
142a63accd7560
1514444da93d50
hexa1d5c7c9d80

11121222000000 has 448 divisors, whose sum is σ = 42200684824320. Its totient is φ = 2541984000000.

The previous prime is 11121221999999. The next prime is 11121222000001. The reversal of 11121222000000 is 22212111.

It is an interprime number because it is at equal distance from previous prime (11121221999999) and next prime (11121222000001).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11121222000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121222000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41867605 + ... + 42132395.

Almost surely, 211121222000000 is an apocalyptic number.

11121222000000 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 11121222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21100342412160).

11121222000000 is an abundant number, since it is smaller than the sum of its proper divisors (31079462824320).

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

11121222000000 is an frugal number, since it uses more digits than its factorization.

11121222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264845 (or 264808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11121222000000 its reverse (22212111), we get a palindrome (11121244212111).

The spelling of 11121222000000 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-two million", and thus it is an aban number.