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1110112200120 = 23357114173137293
BaseRepresentation
bin10000001001110111110…
…101111110010110111000
310221010101121221202111010
4100021313311332112320
5121142002210400440
62205551205033520
7143126421003360
oct20116765762670
93833347852433
101110112200120
1139888343a680
1215b1923b58a0
13808b5abb341
143ba304b59a0
151dd23623580
hex10277d7e5b8

1110112200120 has 1024 divisors, whose sum is σ = 4357939138560. Its totient is φ = 219591475200.

The previous prime is 1110112200103. The next prime is 1110112200143. The reversal of 1110112200120 is 210022110111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1110112200096 and 1110112200105.

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 255 ways as a sum of consecutive naturals, for example, 3788778694 + ... + 3788778986.

It is an arithmetic number, because the mean of its divisors is an integer number (4255799940).

Almost surely, 21110112200120 is an apocalyptic number.

1110112200120 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 1110112200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178969569280).

1110112200120 is an abundant number, since it is smaller than the sum of its proper divisors (3247826938440).

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

1110112200120 is a wasteful number, since it uses less digits than its factorization.

1110112200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1110112200120 its reverse (210022110111), we get a palindrome (1320134310231).

Subtracting from 1110112200120 its reverse (210022110111), we obtain a palindrome (900090090009).

It can be divided in two parts, 11101 and 12200120, that added together give a palindrome (12211221).

The spelling of 1110112200120 in words is "one trillion, one hundred ten billion, one hundred twelve million, two hundred thousand, one hundred twenty".