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122160313472 = 27308932
BaseRepresentation
bin111000111000101010…
…0100111010010000000
3102200022120011220110112
41301301110213102000
54000141020012342
6132041503250452
711553150350261
oct1616124472200
9380276156415
10122160313472
114789834865a
121b8132a9a28
13b69a931a72
145cac212968
15329e983682
hex1c71527480

122160313472 has 24 divisors (see below), whose sum is σ = 243374127465. Its totient is φ = 61078179584.

The previous prime is 122160313469. The next prime is 122160313507. The reversal of 122160313472 is 274313061221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122160313472 is digitally balanced in base 3, 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 2 ways, for example, as 120364588096 + 1795725376 = 346936^2 + 42376^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247144.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3938858 + ... + 3969750.

Almost surely, 2122160313472 is an apocalyptic number.

It is an amenable number.

122160313472 is a deficient number, since it is larger than the sum of its proper divisors (121213813993).

122160313472 is an frugal number, since it uses more digits than its factorization.

122160313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61800 (or 30895 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Multiplying 122160313472 by its sum of digits (32), we get a square (3909130031104 = 19771522).

122160313472 divided by its sum of digits (32) gives a square (3817509796 = 617862).

Adding to 122160313472 its reverse (274313061221), we get a palindrome (396473374693).

The spelling of 122160313472 in words is "one hundred twenty-two billion, one hundred sixty million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 30893 61786 123572 247144 494288 988576 1977152 3954304 954377449 1908754898 3817509796 7635019592 15270039184 30540078368 61080156736 122160313472