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12013962920224 = 25292717762201
BaseRepresentation
bin1010111011010011011111…
…1111100000000100100000
31120112112010201202221110221
42232310313333200010200
53033314044001421344
641315045515532424
72346660125614516
oct256646777400440
946475121687427
1012013962920224
1139121029574a1
121420477a5a114
13691bb1418165
142d769c1a24b6
1515c79db7c184
hexaed37fe0120

12013962920224 has 72 divisors (see below), whose sum is σ = 24500023863588. Its totient is φ = 5798942822400.

The previous prime is 12013962920209. The next prime is 12013962920261. The reversal of 12013962920224 is 42202926931021.

12013962920224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6478389191824 + 5535573728400 = 2545268^2 + 2352780^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193116324 + ... + 193178524.

Almost surely, 212013962920224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013962920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250011931794).

12013962920224 is an abundant number, since it is smaller than the sum of its proper divisors (12486060943364).

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

12013962920224 is an equidigital number, since it uses as much as digits as its factorization.

12013962920224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69446 (or 69409 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 12013962920224 in words is "twelve trillion, thirteen billion, nine hundred sixty-two million, nine hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 6728 7177 13456 14354 26912 28708 57416 62201 114832 124402 208133 229664 248804 416266 497608 832532 995216 1665064 1803829 1990432 3330128 3607658 6035857 6660256 7215316 12071714 14430632 24143428 28861264 48286856 52311041 57722528 96573712 104622082 193147424 209244164 418488328 446416577 836976656 892833154 1673953312 1785666308 3571332616 7142665232 12946080733 14285330464 25892161466 51784322932 103568645864 207137291728 375436341257 414274583456 750872682514 1501745365028 3003490730056 6006981460112 12013962920224