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1224134123320 = 235313670114591
BaseRepresentation
bin10001110100000100000…
…101000101111100111000
311100000201000022121021201
4101310010011011330320
5130024011313421240
62334205350343544
7154304120236423
oct21640405057470
94300630277251
101224134123320
11432174888159
121792b405abb4
138b587614554
14433698b89ba
1521c98871d9a
hex11d04145f38

1224134123320 has 64 divisors (see below), whose sum is σ = 2763703203840. Its totient is φ = 487982976000.

The previous prime is 1224134123309. The next prime is 1224134123339. The reversal of 1224134123320 is 233214314221.

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, 83889225 + ... + 83903815.

It is an arithmetic number, because the mean of its divisors is an integer number (43182862560).

Almost surely, 21224134123320 is an apocalyptic number.

1224134123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224134123320 is an abundant number, since it is smaller than the sum of its proper divisors (1539569080520).

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

1224134123320 is a wasteful number, since it uses less digits than its factorization.

1224134123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21616 (or 21612 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1224134123320 its reverse (233214314221), we get a palindrome (1457348437541).

The spelling of 1224134123320 in words is "one trillion, two hundred twenty-four billion, one hundred thirty-four million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 6701 12520 13402 14591 26804 29182 33505 53608 58364 67010 72955 116728 134020 145910 268040 291820 583640 2097413 4194826 4566983 8389652 9133966 10487065 16779304 18267932 20974130 22834915 36535864 41948260 45669830 83896520 91339660 97774291 182679320 195548582 391097164 488871455 782194328 977742910 1955485820 3910971640 30603353083 61206706166 122413412332 153016765415 244826824664 306033530830 612067061660 1224134123320