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123042221040 = 2435673761777
BaseRepresentation
bin111001010010111100…
…0110100101111110000
3102202121000122110012210
41302211320310233300
54003442302033130
6132305205452120
711614046423334
oct1624570645760
9382530573183
10123042221040
1148200142892
121ba1a711040
13b7ab56236b
145d533bd7c4
1533020d95b0
hex1ca5e34bf0

123042221040 has 80 divisors (see below), whose sum is σ = 381998148768. Its totient is φ = 32762462208.

The previous prime is 123042221039. The next prime is 123042221041. The reversal of 123042221040 is 40122240321.

123042221040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123042221039) and next prime (123042221041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 123042220998 and 123042221016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123042221041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219369 + ... + 542408.

Almost surely, 2123042221040 is an apocalyptic number.

123042221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123042221040 is an abundant number, since it is smaller than the sum of its proper divisors (258955927728).

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

123042221040 is a wasteful number, since it uses less digits than its factorization.

123042221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762466 (or 762460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 123042221040 its reverse (40122240321), we get a palindrome (163164461361).

The spelling of 123042221040 in words is "one hundred twenty-three billion, forty-two million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 673 1346 2019 2692 3365 4038 5384 6730 8076 10095 10768 13460 16152 20190 26920 32304 40380 53840 80760 161520 761777 1523554 2285331 3047108 3808885 4570662 6094216 7617770 9141324 11426655 12188432 15235540 18282648 22853310 30471080 36565296 45706620 60942160 91413240 182826480 512675921 1025351842 1538027763 2050703684 2563379605 3076055526 4101407368 5126759210 6152111052 7690138815 8202814736 10253518420 12304222104 15380277630 20507036840 24608444208 30760555260 41014073680 61521110520 123042221040