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11021221112000 = 265311279167863
BaseRepresentation
bin1010000001100001001111…
…1110000010100011000000
31110000121200211220212022112
42200120103332002203000
52421032430101041000
635235025025354452
72215154063515451
oct240302376024300
943017624825275
1011021221112000
11356a089aa4500
12129bba0798a28
1361c3b1aa5768
142a1603ac5128
15141a49731235
hexa0613f828c0

11021221112000 has 672 divisors, whose sum is σ = 30597995151360. Its totient is φ = 3928733952000.

The previous prime is 11021221111997. The next prime is 11021221112071. The reversal of 11021221112000 is 21112212011.

Adding to 11021221112000 its reverse (21112212011), we get a palindrome (11042333324011).

It can be divided in two parts, 1102122 and 1112000, that added together give a palindrome (2214122).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12770823569 + ... + 12770824431.

It is an arithmetic number, because the mean of its divisors is an integer number (45532730880).

Almost surely, 211021221112000 is an apocalyptic number.

11021221112000 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 11021221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298997575680).

11021221112000 is an abundant number, since it is smaller than the sum of its proper divisors (19576774039360).

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

11021221112000 is a wasteful number, since it uses less digits than its factorization.

11021221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 11021221112000 in words is "eleven trillion, twenty-one billion, two hundred twenty-one million, one hundred twelve thousand".