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22002220121112 = 233271134331156031
BaseRepresentation
bin1010000000010110010101…
…00000111011110000011000
32212220101120112212012020200
411000023022200323300120
510340441021322333422
6114443402544022200
74430415345161160
oct500131240736030
985811515765220
1022002220121112
1170130a8730760
122574217001960
13c37a537a302a
14560cad9055a0
152824dcc072ac
hex1402ca83bc18

22002220121112 has 192 divisors, whose sum is σ = 74314915983360. Its totient is φ = 5713192742400.

The previous prime is 22002220121093. The next prime is 22002220121159. The reversal of 22002220121112 is 21112102220022.

It is a happy number.

22002220121112 is a `hidden beast` number, since 220 + 0 + 2 + 220 + 1 + 211 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18454537 + ... + 19610567.

It is an arithmetic number, because the mean of its divisors is an integer number (387056854080).

Almost surely, 222002220121112 is an apocalyptic number.

22002220121112 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 22002220121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37157457991680).

22002220121112 is an abundant number, since it is smaller than the sum of its proper divisors (52312695862248).

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

22002220121112 is a wasteful number, since it uses less digits than its factorization.

22002220121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159494 (or 1159487 counting only the distinct ones).

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

Adding to 22002220121112 its reverse (21112102220022), we get a palindrome (43114322341134).

The spelling of 22002220121112 in words is "twenty-two trillion, two billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twelve".