Search a number
-
+
12020120009984 = 28291619089441
BaseRepresentation
bin1010111011101010011011…
…1110111011110100000000
31120120010000211102111210102
42232322212332323310000
53033414201210304414
641321544503421532
72350265531201522
oct256724676736400
946503024374712
1012020120009984
113914782422129
1214216b5a548a8
13692652bc5b38
142d7ac3bc3a12
1515ca0e494ede
hexaeea6fbbd00

12020120009984 has 36 divisors (see below), whose sum is σ = 24820641145860. Its totient is φ = 5802816552960.

The previous prime is 12020120009923. The next prime is 12020120010007. The reversal of 12020120009984 is 48990002102021.

It can be written as a sum of positive squares in 2 ways, for example, as 9276459049984 + 2743660960000 = 3045728^2 + 1656400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 809537297 + ... + 809552144.

Almost surely, 212020120009984 is an apocalyptic number.

It is an amenable number.

12020120009984 is an abundant number, since it is smaller than the sum of its proper divisors (12800521135876).

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

12020120009984 is an equidigital number, since it uses as much as digits as its factorization.

12020120009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619089486 (or 1619089472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 12020120009984 in words is "twelve trillion, twenty billion, one hundred twenty million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 1619089441 3238178882 6476357764 12952715528 25905431056 46953593789 51810862112 93907187578 103621724224 187814375156 207243448448 375628750312 414486896896 751257500624 1502515001248 3005030002496 6010060004992 12020120009984