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123012000120 = 23351025100001
BaseRepresentation
bin111001010010000010…
…1100010100101111000
3102202111220210001220110
41302210011202211320
54003412033000440
6132302210024320
711613231514602
oct1624405424570
9382456701813
10123012000120
1148195081419
121ba105780a0
13b7a5210969
145d4d394172
1532ee61a080
hex1ca4162978

123012000120 has 32 divisors (see below), whose sum is σ = 369036000720. Its totient is φ = 32803200000.

The previous prime is 123012000109. The next prime is 123012000121. The reversal of 123012000120 is 21000210321.

123012000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 123012000096 and 123012000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123012000121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512549881 + ... + 512550120.

Almost surely, 2123012000120 is an apocalyptic number.

123012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123012000120 is an abundant number, since it is smaller than the sum of its proper divisors (246024000600).

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

123012000120 is a wasteful number, since it uses less digits than its factorization.

123012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025100015 (or 1025100011 counting only the distinct ones).

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

Adding to 123012000120 its reverse (21000210321), we get a palindrome (144012210441).

The spelling of 123012000120 in words is "one hundred twenty-three billion, twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1025100001 2050200002 3075300003 4100400004 5125500005 6150600006 8200800008 10251000010 12301200012 15376500015 20502000020 24602400024 30753000030 41004000040 61506000060 123012000120