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123053160120 = 2335116110115131
BaseRepresentation
bin111001010011010001…
…0100011011010111000
3102202121210020012210220
41302212202203122320
54004003102110440
6132310240140040
711614241413602
oct1624642433270
9382553205726
10123053160120
1148206334550
121ba22307620
13b7b08c24a7
145d54a2a172
15330304a8d0
hex1ca68a36b8

123053160120 has 256 divisors, whose sum is σ = 413401397760. Its totient is φ = 29049600000.

The previous prime is 123053160119. The next prime is 123053160127. The reversal of 123053160120 is 21061350321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123053160127) 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, 8124955 + ... + 8140085.

It is an arithmetic number, because the mean of its divisors is an integer number (1614849210).

Almost surely, 2123053160120 is an apocalyptic number.

123053160120 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 123053160120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206700698880).

123053160120 is an abundant number, since it is smaller than the sum of its proper divisors (290348237640).

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

123053160120 is a wasteful number, since it uses less digits than its factorization.

123053160120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15318 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 123053160120 in words is "one hundred twenty-three billion, fifty-three million, one hundred sixty thousand, one hundred twenty".