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2200122122112 = 27321909828231
BaseRepresentation
bin100000000001000001011…
…111110101111110000000
321210022220021220222111200
4200001001133311332000
5242021322230401422
64402415552341200
7314645035322145
oct40010137657600
97708807828450
102200122122112
11779080643152
122b6494544800
1312c616c71345
14786b4c803cc
153c36c0262ac
hex200417f5f80

2200122122112 has 48 divisors (see below), whose sum is σ = 6331080589080. Its totient is φ = 733374040320.

The previous prime is 2200122122083. The next prime is 2200122122119. The reversal of 2200122122112 is 2112212210022.

It is a happy number.

2200122122112 is a `hidden beast` number, since 220 + 0 + 1 + 221 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22001221221122 (a number of 25 digits) contains 22 as substring.

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 (2200122122119) 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 5 ways as a sum of consecutive naturals, for example, 954912964 + ... + 954915267.

Almost surely, 22200122122112 is an apocalyptic number.

It is an amenable number.

2200122122112 is an abundant number, since it is smaller than the sum of its proper divisors (4130958466968).

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

2200122122112 is a wasteful number, since it uses less digits than its factorization.

2200122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909828251 (or 1909828236 counting only the distinct ones).

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

Adding to 2200122122112 its reverse (2112212210022), we get a palindrome (4312334332134).

The spelling of 2200122122112 in words is "two trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1909828231 3819656462 5729484693 7639312924 11458969386 15278625848 17188454079 22917938772 30557251696 34376908158 45835877544 61114503392 68753816316 91671755088 122229006784 137507632632 183343510176 244458013568 275015265264 366687020352 550030530528 733374040704 1100061061056 2200122122112