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1220220113112 = 233272111337131499
BaseRepresentation
bin10001110000011010110…
…010010101000011011000
311022122121020102021122200
4101300122302111003120
5124443002322104422
62332321131450200
7154105122554100
oct21603262250330
94278536367580
101220220113112
11430546496380
121785a12b6960
138b0b276c690
14430b7b4a200
1521b19e352ac
hex11c1ac950d8

1220220113112 has 1152 divisors, whose sum is σ = 4683238560000. Its totient is φ = 281914214400.

The previous prime is 1220220113089. The next prime is 1220220113117. The reversal of 1220220113112 is 2113110220221.

1220220113112 is a `hidden beast` number, since 1 + 220 + 220 + 113 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220220113117) 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 287 ways as a sum of consecutive naturals, for example, 2445330639 + ... + 2445331137.

It is an arithmetic number, because the mean of its divisors is an integer number (4065311250).

Almost surely, 21220220113112 is an apocalyptic number.

1220220113112 is a gapful number since it is divisible by the number (12) 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 1220220113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341619280000).

1220220113112 is an abundant number, since it is smaller than the sum of its proper divisors (3463018446888).

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

1220220113112 is a wasteful number, since it uses less digits than its factorization.

1220220113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1220220113112 its reverse (2113110220221), we get a palindrome (3333330333333).

The spelling of 1220220113112 in words is "one trillion, two hundred twenty billion, two hundred twenty million, one hundred thirteen thousand, one hundred twelve".