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123140115312 = 24323925314241
BaseRepresentation
bin111001010101110111…
…0010000101101110000
3102202211211211222220120
41302223232100231300
54004142332142222
6132323024010240
711616345465354
oct1625356205560
9382754758816
10123140115312
1148250426245
121ba47460980
13b7c5919576
145d623c3464
15330a9c515c
hex1cabb90b70

123140115312 has 80 divisors (see below), whose sum is σ = 319644541440. Its totient is φ = 40849177600.

The previous prime is 123140115299. The next prime is 123140115313. The reversal of 123140115312 is 213511041321.

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 (123140115313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29033512 + ... + 29037752.

It is an arithmetic number, because the mean of its divisors is an integer number (3995556768).

Almost surely, 2123140115312 is an apocalyptic number.

123140115312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123140115312 is an abundant number, since it is smaller than the sum of its proper divisors (196504426128).

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

123140115312 is a wasteful number, since it uses less digits than its factorization.

123140115312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 123140115312 its reverse (213511041321), we get a palindrome (336651156633).

The spelling of 123140115312 in words is "one hundred twenty-three billion, one hundred forty million, one hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2531 2868 3824 4241 5062 5736 7593 8482 10124 11472 12723 15186 16964 20248 25446 30372 33928 40496 50892 60744 67856 101784 121488 203568 604909 1013599 1209818 1814727 2027198 2419636 3040797 3629454 4054396 4839272 6081594 7258908 8108792 9678544 10733971 12163188 14517816 16217584 21467942 24326376 29035632 32201913 42935884 48652752 64403826 85871768 128807652 171743536 257615304 515230608 2565419069 5130838138 7696257207 10261676276 15392514414 20523352552 30785028828 41046705104 61570057656 123140115312