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12241032320 = 275111738783
BaseRepresentation
bin10110110011001111…
…10101010010000000
31011121002122212112102
423121213311102000
5200032201013240
65342355445532
7612226025606
oct133147652200
934532585472
1012241032320
11521181a840
1224575b68a8
1312010874ba
14841a41876
154b99d2815
hex2d99f5480

12241032320 has 64 divisors (see below), whose sum is σ = 31924074240. Its totient is φ = 4451281920.

The previous prime is 12241032253. The next prime is 12241032329. The reversal of 12241032320 is 2323014221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12241032292 and 12241032301.

It is not an unprimeable number, because it can be changed into a prime (12241032329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862352 + ... + 876431.

It is an arithmetic number, because the mean of its divisors is an integer number (498813660).

Almost surely, 212241032320 is an apocalyptic number.

12241032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12241032320 is an abundant number, since it is smaller than the sum of its proper divisors (19683041920).

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

12241032320 is a wasteful number, since it uses less digits than its factorization.

12241032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738813 (or 1738801 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12241032320 its reverse (2323014221), we get a palindrome (14564046541).

The spelling of 12241032320 in words is "twelve billion, two hundred forty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1738783 3477566 6955132 8693915 13910264 17387830 19126613 27820528 34775660 38253226 55641056 69551320 76506452 95633065 111282112 139102640 153012904 191266130 222564224 278205280 306025808 382532260 556410560 612051616 765064520 1112821120 1224103232 1530129040 2448206464 3060258080 6120516160 12241032320