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12401333340 = 22351146140759
BaseRepresentation
bin10111000110010110…
…10101010001011100
31012000021022000012020
423203023111101130
5200344220131330
65410323340140
7616213410534
oct134313252134
935007260166
1012401333340
115294258320
1224a1221650
131228351c86
1485904c4c4
154c8ae9210
hex2e32d545c

12401333340 has 96 divisors (see below), whose sum is σ = 37963537920. Its totient is φ = 2999788800.

The previous prime is 12401333299. The next prime is 12401333353. The reversal of 12401333340 is 4333310421.

12401333340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12401333340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283881 + ... + 324639.

It is an arithmetic number, because the mean of its divisors is an integer number (395453520).

Almost surely, 212401333340 is an apocalyptic number.

12401333340 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 12401333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18981768960).

12401333340 is an abundant number, since it is smaller than the sum of its proper divisors (25562204580).

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

12401333340 is a wasteful number, since it uses less digits than its factorization.

12401333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41243 (or 41241 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12401333340 its reverse (4333310421), we get a palindrome (16734643761).

The spelling of 12401333340 in words is "twelve billion, four hundred one million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 461 660 922 1383 1844 2305 2766 4610 5071 5532 6915 9220 10142 13830 15213 20284 25355 27660 30426 40759 50710 60852 76065 81518 101420 122277 152130 163036 203795 244554 304260 407590 448349 489108 611385 815180 896698 1222770 1345047 1793396 2241745 2445540 2690094 4483490 5380188 6725235 8966980 13450470 18789899 26900940 37579798 56369697 75159596 93949495 112739394 187898990 206688889 225478788 281848485 375797980 413377778 563696970 620066667 826755556 1033444445 1127393940 1240133334 2066888890 2480266668 3100333335 4133777780 6200666670 12401333340