Search a number
-
+
122060772768 = 25311115587853
BaseRepresentation
bin111000110101101100…
…0111001010110100000
3102200001121212201021210
41301223120321112200
53444440024212033
6132023545550120
711550531310164
oct1615330712640
9380047781253
10122060772768
1147847140210
121b7a5aa5340
13b68311c33c
145c9cd00ca4
153295d6ed63
hex1c6b6395a0

122060772768 has 48 divisors (see below), whose sum is σ = 349537670496. Its totient is φ = 36988112640.

The previous prime is 122060772751. The next prime is 122060772787. The reversal of 122060772768 is 867277060221.

122060772768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 57792871 + ... + 57794982.

It is an arithmetic number, because the mean of its divisors is an integer number (7282034802).

Almost surely, 2122060772768 is an apocalyptic number.

It is an amenable number.

122060772768 is an abundant number, since it is smaller than the sum of its proper divisors (227476897728).

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

122060772768 is a wasteful number, since it uses less digits than its factorization.

122060772768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115587877 (or 115587869 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 122060772768 in words is "one hundred twenty-two billion, sixty million, seven hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 115587853 231175706 346763559 462351412 693527118 924702824 1271466383 1387054236 1849405648 2542932766 2774108472 3698811296 3814399149 5085865532 5548216944 7628798298 10171731064 11096433888 15257596596 20343462128 30515193192 40686924256 61030386384 122060772768