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2123120256 = 27335915401
BaseRepresentation
bin111111010001100…
…0011111010000000
312110222000200110120
41332203003322000
513322004322011
6550401500240
7103420136655
oct17643037200
95428020416
102123120256
1199a49a744
124b3041680
1327ab2459a
14161d87c2c
15c65d2a06
hex7e8c3e80

2123120256 has 64 divisors (see below), whose sum is σ = 5655614400. Its totient is φ = 705689600.

The previous prime is 2123120243. The next prime is 2123120309. The reversal of 2123120256 is 6520213212.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130156 + ... + 145556.

It is an arithmetic number, because the mean of its divisors is an integer number (88368975).

Almost surely, 22123120256 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 2123120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827807200).

2123120256 is an abundant number, since it is smaller than the sum of its proper divisors (3532494144).

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

2123120256 is a wasteful number, since it uses less digits than its factorization.

2123120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15777 (or 15765 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2123120256 is about 46077.3290892604. The cubic root of 2123120256 is about 1285.2615971320.

Adding to 2123120256 its reverse (6520213212), we get a palindrome (8643333468).

The spelling of 2123120256 in words is "two billion, one hundred twenty-three million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 359 384 718 1077 1436 2154 2872 4308 5744 8616 11488 15401 17232 22976 30802 34464 45952 46203 61604 68928 92406 123208 137856 184812 246416 369624 492832 739248 985664 1478496 1971328 2956992 5528959 5913984 11057918 16586877 22115836 33173754 44231672 66347508 88463344 132695016 176926688 265390032 353853376 530780064 707706752 1061560128 2123120256