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11020021121200 = 24527131073977127
BaseRepresentation
bin1010000001011100110001…
…1100011100000010110000
31110000111121012221000101211
42200113030130130002300
52421023000401334300
635234310001405504
72215112252666140
oct240271434340260
943014535830354
1011020021121200
1135696236a4673
12129b906939894
1361c2502b5530
142a152c598920
151419c91e84ba
hexa05cc71c0b0

11020021121200 has 480 divisors, whose sum is σ = 32977363313664. Its totient is φ = 3445873643520.

The previous prime is 11020021121189. The next prime is 11020021121201. The reversal of 11020021121200 is 212112002011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11020021121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1546232037 + ... + 1546239163.

Almost surely, 211020021121200 is an apocalyptic number.

11020021121200 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 11020021121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488681656832).

11020021121200 is an abundant number, since it is smaller than the sum of its proper divisors (21957342192464).

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

11020021121200 is a wasteful number, since it uses less digits than its factorization.

11020021121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11020021121200 its reverse (212112002011), we get a palindrome (11232133123211).

The spelling of 11020021121200 in words is "eleven trillion, twenty billion, twenty-one million, one hundred twenty-one thousand, two hundred".