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121100000112 = 243271323719213
BaseRepresentation
bin111000011001000011…
…1110101101101110000
3102120120200000101222100
41300302013311231300
53441003100000422
6131344345140400
711514654005550
oct1606207655560
9376520011870
10121100000112
11473a387a523
121b57818a700
13b55c068100
145c0b485160
15323b83b7ac
hex1c321f5b70

121100000112 has 360 divisors, whose sum is σ = 430772038944. Its totient is φ = 31073642496.

The previous prime is 121100000111. The next prime is 121100000113. The reversal of 121100000112 is 211000001121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121100000111) and next prime (121100000113).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121100000094 and 121100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100000111) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6293418 + ... + 6312630.

Almost surely, 2121100000112 is an apocalyptic number.

121100000112 is a gapful number since it is divisible by the number (12) 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 121100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215386019472).

121100000112 is an abundant number, since it is smaller than the sum of its proper divisors (309672038832).

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

121100000112 is a wasteful number, since it uses less digits than its factorization.

121100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19297 (or 19275 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121100000112 its reverse (211000001121), we get a palindrome (332100001233).

The spelling of 121100000112 in words is "one hundred twenty-one billion, one hundred million, one hundred twelve", and thus it is an aban number.