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122103000012 = 223731672832473
BaseRepresentation
bin111000110110111100…
…1111110101111001100
3102200011120100002011210
41301231321332233030
54000031332000022
6132032055014420
711551553242530
oct1615571765714
9380146302153
10122103000012
1147868a62164
121b7b806a410
13b68bab5886
145ca4773bc0
153299911a0c
hex1c6de7ebcc

122103000012 has 192 divisors, whose sum is σ = 342471901184. Its totient is φ = 33126382080.

The previous prime is 122102999999. The next prime is 122103000013. The reversal of 122103000012 is 210000301221.

It is a super-2 number, since 2×1221030000122 (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).

It is not an unprimeable number, because it can be changed into a prime (122103000013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49373208 + ... + 49375680.

Almost surely, 2122103000012 is an apocalyptic number.

122103000012 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 122103000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171235950592).

122103000012 is an abundant number, since it is smaller than the sum of its proper divisors (220368901172).

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

122103000012 is a wasteful number, since it uses less digits than its factorization.

122103000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122103000012 its reverse (210000301221), we get a palindrome (332103301233).

The spelling of 122103000012 in words is "one hundred twenty-two billion, one hundred three million, twelve", and thus it is an aban number.