Search a number
-
+
8012152120 = 2357233167599
BaseRepresentation
bin1110111011000111…
…11011110100111000
3202200101021111110211
413131203323310320
5112402102331440
63403012120504
7402356112040
oct73543736470
922611244424
108012152120
113441718525
121677306134
139a8c0941b
1456014c720
1531d5eaeea
hex1dd8fbd38

8012152120 has 256 divisors, whose sum is σ = 22560768000. Its totient is φ = 2500692480.

The previous prime is 8012152091. The next prime is 8012152121. The reversal of 8012152120 is 212512108.

It is a junction number, because it is equal to n+sod(n) for n = 8012152091 and 8012152100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8012152121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13375581 + ... + 13376179.

It is an arithmetic number, because the mean of its divisors is an integer number (88128000).

Almost surely, 28012152120 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 8012152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280384000).

8012152120 is an abundant number, since it is smaller than the sum of its proper divisors (14548615880).

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

8012152120 is a wasteful number, since it uses less digits than its factorization.

8012152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 8012152120 is about 89510.6257379536. The cubic root of 8012152120 is about 2001.0121643419.

Adding to 8012152120 its reverse (212512108), we get a palindrome (8224664228).

The spelling of 8012152120 in words is "eight billion, twelve million, one hundred fifty-two thousand, one hundred twenty".