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123041400000 = 26355205069
BaseRepresentation
bin111001010010111010…
…1101100010011000000
3102202120222002201221220
41302211311230103000
54003442044300000
6132305140115040
711614036433541
oct1624565542300
9382528081856
10123041400000
11481aa731a42
121ba1a395a80
13b7ab33573c
145d532484c8
153301ec61a0
hex1ca5d6c4c0

123041400000 has 168 divisors, whose sum is σ = 406909737360. Its totient is φ = 32810880000.

The previous prime is 123041399993. The next prime is 123041400007. The reversal of 123041400000 is 4140321.

It is an interprime number because it is at equal distance from previous prime (123041399993) and next prime (123041400007).

It is a super-2 number, since 2×1230414000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (123041400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497466 + ... + 702534.

It is an arithmetic number, because the mean of its divisors is an integer number (2422081770).

Almost surely, 2123041400000 is an apocalyptic number.

123041400000 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 123041400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203454868680).

123041400000 is an abundant number, since it is smaller than the sum of its proper divisors (283868337360).

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

123041400000 is an frugal number, since it uses more digits than its factorization.

123041400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205109 (or 205079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 123041400000 its reverse (4140321), we get a palindrome (123045540321).

The spelling of 123041400000 in words is "one hundred twenty-three billion, forty-one million, four hundred thousand".