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110000122121120 = 25571136432450887
BaseRepresentation
bin11001000000101101100110…
…001101000100101110100000
3112102110220112122100011210112
4121000231212031010232200
5103404220222230333440
61025541205233150452
732112150366524030
oct3100554615045640
9472426478304715
10110000122121120
113205a876270640
12104069163bb428
13494bc7568b98a
141d2406a24d8c0
15cab5502d6965
hex640b66344ba0

110000122121120 has 192 divisors, whose sum is σ = 324089429723136. Its totient is φ = 34276326958080.

The previous prime is 110000122121117. The next prime is 110000122121203. The reversal of 110000122121120 is 21121221000011.

It is a super-2 number, since 2×1100001221211202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110000122121095 and 110000122121104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43656317 + ... + 46107203.

It is an arithmetic number, because the mean of its divisors is an integer number (1687965779808).

Almost surely, 2110000122121120 is an apocalyptic number.

110000122121120 is a gapful number since it is divisible by the number (10) 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 110000122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162044714861568).

110000122121120 is an abundant number, since it is smaller than the sum of its proper divisors (214089307602016).

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

110000122121120 is a wasteful number, since it uses less digits than its factorization.

110000122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454563 (or 2454555 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110000122121120 its reverse (21121221000011), we get a palindrome (131121343121131).

The spelling of 110000122121120 in words is "one hundred ten trillion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".