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12465331120 = 24511101140249
BaseRepresentation
bin10111001101111110…
…11101101110110000
31012011201201102122101
423212333131232300
5201012111043440
65420531150144
7620621365144
oct134677355660
935151642571
1012465331120
115317399850
1224ba745354
13123869b798
1486374b224
154ce53b69a
hex2e6fddbb0

12465331120 has 80 divisors (see below), whose sum is σ = 31929876000. Its totient is φ = 4487936000.

The previous prime is 12465331097. The next prime is 12465331127. The reversal of 12465331120 is 2113356421.

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

It is a super-4 number, since 4×124653311204 (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12465331127) 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, 18756 + ... + 159004.

It is an arithmetic number, because the mean of its divisors is an integer number (399123450).

Almost surely, 212465331120 is an apocalyptic number.

12465331120 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 12465331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964938000).

12465331120 is an abundant number, since it is smaller than the sum of its proper divisors (19464544880).

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

12465331120 is a wasteful number, since it uses less digits than its factorization.

12465331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140374 (or 140368 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 12465331120 its reverse (2113356421), we get a palindrome (14578687541).

The spelling of 12465331120 in words is "twelve billion, four hundred sixty-five million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 140249 280498 560996 701245 1121992 1402490 1542739 2243984 2804980 3085478 5609960 6170956 7713695 11219920 12341912 14165149 15427390 24683824 28330298 30854780 56660596 61709560 70825745 113321192 123419120 141651490 155816639 226642384 283302980 311633278 566605960 623266556 779083195 1133211920 1246533112 1558166390 2493066224 3116332780 6232665560 12465331120