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22111220022012 = 2232112953269135049
BaseRepresentation
bin1010000011100001010110…
…11010100011101011111100
32220021210220221101212120100
411001300223122203223330
510344232234311201022
6115005430530121100
74441324434065622
oct501605332435374
986253827355510
1022111220022012
11705535229a590
122591376a20190
13c45104a29904
1456628dd53512
1528526c0ee1ac
hex141c2b6a3afc

22111220022012 has 288 divisors, whose sum is σ = 64505390040000. Its totient is φ = 6323617198080.

The previous prime is 22111220021993. The next prime is 22111220022037. The reversal of 22111220022012 is 21022002211122.

It is a happy number.

22111220022012 is a `hidden beast` number, since 2 + 211 + 1 + 220 + 0 + 220 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163659864 + ... + 163794912.

It is an arithmetic number, because the mean of its divisors is an integer number (223977048750).

Almost surely, 222111220022012 is an apocalyptic number.

22111220022012 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 22111220022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32252695020000).

22111220022012 is an abundant number, since it is smaller than the sum of its proper divisors (42394170017988).

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

22111220022012 is a wasteful number, since it uses less digits than its factorization.

22111220022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135421 (or 135416 counting only the distinct ones).

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

Adding to 22111220022012 its reverse (21022002211122), we get a palindrome (43133222233134).

The spelling of 22111220022012 in words is "twenty-two trillion, one hundred eleven billion, two hundred twenty million, twenty-two thousand, twelve".