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12260452440 = 2335131779927
BaseRepresentation
bin10110110101100011…
…11010100001011000
31011122110012111221010
423122301322201120
5200102133434230
65344332013520
7612553061205
oct133261724130
934573174833
1012260452440
115221784425
1224620012a0
1312050c69b2
14844458cac
154bb56b9b0
hex2dac7a858

12260452440 has 64 divisors (see below), whose sum is σ = 37062178560. Its totient is φ = 3244492160.

The previous prime is 12260452433. The next prime is 12260452453. The reversal of 12260452440 is 4425406221.

12260452440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12260452398 and 12260452407.

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 15 ways as a sum of consecutive naturals, for example, 374244 + ... + 405683.

It is an arithmetic number, because the mean of its divisors is an integer number (579096540).

Almost surely, 212260452440 is an apocalyptic number.

12260452440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12260452440 is an abundant number, since it is smaller than the sum of its proper divisors (24801726120).

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

12260452440 is a wasteful number, since it uses less digits than its factorization.

12260452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780072 (or 780068 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12260452440 its reverse (4425406221), we get a palindrome (16685858661).

The spelling of 12260452440 in words is "twelve billion, two hundred sixty million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 779927 1559854 2339781 3119708 3899635 4679562 6239416 7799270 9359124 11698905 15598540 18718248 23397810 31197080 46795620 93591240 102170437 204340874 306511311 408681748 510852185 613022622 817363496 1021704370 1226045244 1532556555 2043408740 2452090488 3065113110 4086817480 6130226220 12260452440