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11121021121000 = 2353717131713389
BaseRepresentation
bin1010000111010101000010…
…0000110111000111101000
31110101011022002020121111011
42201311100200313013220
52424201322401333000
635352532050113304
72225316161555020
oct241652040670750
943334262217434
1011121021121000
1135a844255338a
1212b73b357b834
1362892803201b
142a6390366a80
1514443b1142ba
hexa1d508371e8

11121021121000 has 256 divisors, whose sum is σ = 31730674060800. Its totient is φ = 3561232896000.

The previous prime is 11121021120997. The next prime is 11121021121003. The reversal of 11121021121000 is 12112012111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11121021120997) and next prime (11121021121003).

It is a super-2 number, since 2×111210211210002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121021121003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15232306 + ... + 15945694.

It is an arithmetic number, because the mean of its divisors is an integer number (123947945550).

Almost surely, 211121021121000 is an apocalyptic number.

11121021121000 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 11121021121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865337030400).

11121021121000 is an abundant number, since it is smaller than the sum of its proper divisors (20609652939800).

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

11121021121000 is a wasteful number, since it uses less digits than its factorization.

11121021121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713565 (or 713551 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11121021121000 its reverse (12112012111), we get a palindrome (11133133133111).

The spelling of 11121021121000 in words is "eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand".