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22220022111012 = 22321121923310391109
BaseRepresentation
bin1010000110101100000001…
…00001100101101100100100
32220200012202112201122222100
411003112000201211230210
510403023101130023022
6115131423124332100
74452225601431315
oct503260041455444
986605675648870
1022220022111012
117097505230400
1225aa480544030
13c52453cb412b
1456b651dcc60c
15287ed8e701ac
hex143580865b24

22220022111012 has 432 divisors, whose sum is σ = 65387570976000. Its totient is φ = 6339741281280.

The previous prime is 22220022110999. The next prime is 22220022111013. The reversal of 22220022111012 is 21011122002222.

It is a happy number.

22220022111012 is a `hidden beast` number, since 222 + 200 + 221 + 1 + 10 + 12 = 666.

It is a super-3 number, since 3×222200221110123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (22220022111013) 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 143 ways as a sum of consecutive naturals, for example, 20036087914 + ... + 20036089022.

It is an arithmetic number, because the mean of its divisors is an integer number (151360118000).

Almost surely, 222220022111012 is an apocalyptic number.

22220022111012 is a gapful number since it is divisible by the number (22) 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 22220022111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32693785488000).

22220022111012 is an abundant number, since it is smaller than the sum of its proper divisors (43167548864988).

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

22220022111012 is a wasteful number, since it uses less digits than its factorization.

22220022111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2416 counting only the distinct ones).

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

Adding to 22220022111012 its reverse (21011122002222), we get a palindrome (43231144113234).

The spelling of 22220022111012 in words is "twenty-two trillion, two hundred twenty billion, twenty-two million, one hundred eleven thousand, twelve".