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11220201202000 = 245372613186773
BaseRepresentation
bin1010001101000110100000…
…0110110110000101010000
31110201122022010001202022111
42203101220012312011100
52432312433001431000
635510253403315104
72235430021416100
oct243215006660520
943648263052274
1011220201202000
11363650808317a
12131267281ba94
136350a2a0629b
142ab0bc555200
15146ce338ecba
hexa34681b6150

11220201202000 has 240 divisors, whose sum is σ = 31611560761872. Its totient is φ = 3840629990400.

The previous prime is 11220201201997. The next prime is 11220201202009. The reversal of 11220201202000 is 20210202211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10622202125584 + 597999076416 = 3259172^2 + 773304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220201202009) 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 47 ways as a sum of consecutive naturals, for example, 59980614 + ... + 60167386.

Almost surely, 211220201202000 is an apocalyptic number.

11220201202000 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 11220201202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805780380936).

11220201202000 is an abundant number, since it is smaller than the sum of its proper divisors (20391359559872).

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

11220201202000 is a wasteful number, since it uses less digits than its factorization.

11220201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187423 (or 187400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11220201202000 its reverse (20210202211), we get a palindrome (11240411404211).

The spelling of 11220201202000 in words is "eleven trillion, two hundred twenty billion, two hundred one million, two hundred two thousand".