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12423460720 = 2451171198839
BaseRepresentation
bin10111001000111111…
…01111011101110000
31012001210221012020211
423210133233131300
5200420401220340
65412433513504
7616602450046
oct134437573560
935053835224
1012423460720
1152a57a0a10
1224a8712894
13122cacb7b8
1485bd6c396
154caa1a5ea
hex2e47ef770

12423460720 has 80 divisors (see below), whose sum is σ = 31954383360. Its totient is φ = 4453971200.

The previous prime is 12423460657. The next prime is 12423460723. The reversal of 12423460720 is 2706432421.

It is a happy number.

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

It is a super-2 number, since 2×124234607202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423460723) 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, 36940 + ... + 161899.

It is an arithmetic number, because the mean of its divisors is an integer number (399429792).

Almost surely, 212423460720 is an apocalyptic number.

12423460720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12423460720 is an abundant number, since it is smaller than the sum of its proper divisors (19530922640).

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

12423460720 is a wasteful number, since it uses less digits than its factorization.

12423460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198934 (or 198928 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 12423460720 in words is "twelve billion, four hundred twenty-three million, four hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 15620 31240 62480 198839 397678 795356 994195 1590712 1988390 2187229 3181424 3976780 4374458 7953560 8748916 10936145 14117569 15907120 17497832 21872290 28235138 34995664 43744580 56470276 70587845 87489160 112940552 141175690 155293259 174978320 225881104 282351380 310586518 564702760 621173036 776466295 1129405520 1242346072 1552932590 2484692144 3105865180 6211730360 12423460720