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123042240312 = 23353809119569
BaseRepresentation
bin111001010010111100…
…0111001011100111000
3102202121000200102122120
41302211320321130320
54003442303142222
6132305210121240
711614046533455
oct1624570713470
9382530612576
10123042240312
1148200156312
121ba1a720220
13b7ab56b074
145d533c682c
1533020e015c
hex1ca5e39738

123042240312 has 64 divisors (see below), whose sum is σ = 313799508000. Its totient is φ = 40190152704.

The previous prime is 123042240311. The next prime is 123042240313. The reversal of 123042240312 is 213042240321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123042240311) and next prime (123042240313).

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 (123042240311) 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, 969264 + ... + 1088832.

Almost surely, 2123042240312 is an apocalyptic number.

123042240312 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 123042240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156899754000).

123042240312 is an abundant number, since it is smaller than the sum of its proper divisors (190757267688).

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

123042240312 is a wasteful number, since it uses less digits than its factorization.

123042240312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120440 (or 120436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123042240312 its reverse (213042240321), we get a palindrome (336084480633).

Subtracting 123042240312 from its reverse (213042240321), we obtain a palindrome (90000000009).

The spelling of 123042240312 in words is "one hundred twenty-three billion, forty-two million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 809 1272 1618 2427 3236 4854 6472 9708 19416 42877 85754 119569 128631 171508 239138 257262 343016 358707 478276 514524 717414 956552 1029048 1434828 2869656 6337157 12674314 19011471 25348628 38022942 50697256 76045884 96731321 152091768 193462642 290193963 386925284 580387926 773850568 1160775852 2321551704 5126760013 10253520026 15380280039 20507040052 30760560078 41014080104 61521120156 123042240312