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1220022212112 = 2433114321128297
BaseRepresentation
bin10001110000001110111…
…111011001011000010000
311022122002110000212112000
4101300032333121120100
5124442101141241422
62332245342034000
7154100200461204
oct21601677313020
94278073025460
101220022212112
11430454807430
12178546b78900
138b08076b8b2
1443099752b04
1521b07892cac
hex11c0efd9610

1220022212112 has 320 divisors, whose sum is σ = 3927780510720. Its totient is φ = 359381836800.

The previous prime is 1220022212107. The next prime is 1220022212119. The reversal of 1220022212112 is 2112122200221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1220022212119) 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, 43100748 + ... + 43129044.

It is an arithmetic number, because the mean of its divisors is an integer number (12274314096).

Almost surely, 21220022212112 is an apocalyptic number.

1220022212112 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 1220022212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963890255360).

1220022212112 is an abundant number, since it is smaller than the sum of its proper divisors (2707758298608).

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

1220022212112 is a wasteful number, since it uses less digits than its factorization.

1220022212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28579 (or 28567 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1220022212112 its reverse (2112122200221), we get a palindrome (3332144412333).

The spelling of 1220022212112 in words is "one trillion, two hundred twenty billion, twenty-two million, two hundred twelve thousand, one hundred twelve".