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112121001012 = 2239343416751
BaseRepresentation
bin110100001101011101…
…1101011010000110100
3101201101220102222210010
41220122323223100310
53314110434013022
6123301354100220
711046314532606
oct1503273532064
9351356388703
10112121001012
1143606422609
121989111a670
13a75aa5b9a7
1455d8b79176
152db340c50c
hex1a1aeeb434

112121001012 has 12 divisors (see below), whose sum is σ = 261615669056. Its totient is φ = 37373667000.

The previous prime is 112121000963. The next prime is 112121001019. The reversal of 112121001012 is 210100121211.

112121001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1121210010122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 9343416751 = 112121001012 / (1 + 1 + 2 + 1 + 2 + 1 + 0 + 0 + 1 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121001019) 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 3 ways as a sum of consecutive naturals, for example, 4671708364 + ... + 4671708387.

Almost surely, 2112121001012 is an apocalyptic number.

112121001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112121001012 is an abundant number, since it is smaller than the sum of its proper divisors (149494668044).

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

112121001012 is a wasteful number, since it uses less digits than its factorization.

112121001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343416758 (or 9343416756 counting only the distinct ones).

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

Adding to 112121001012 its reverse (210100121211), we get a palindrome (322221122223).

The spelling of 112121001012 in words is "one hundred twelve billion, one hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 9343416751 18686833502 28030250253 37373667004 56060500506 112121001012