Search a number
-
+
12522889120 = 2557234171167
BaseRepresentation
bin10111010100110110…
…00001111110100000
31012022202000200101011
423222123001332200
5201121324422440
65430344550304
7622220541550
oct135233017640
935282020334
1012522889120
115346931a45
122515a82394
1312475a2081
1486b251160
154d460a9ea
hex2ea6c1fa0

12522889120 has 384 divisors, whose sum is σ = 36870930432. Its totient is φ = 3926630400.

The previous prime is 12522889087. The next prime is 12522889121. The reversal of 12522889120 is 2198822521.

12522889120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12522889121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74987277 + ... + 74987443.

It is an arithmetic number, because the mean of its divisors is an integer number (96018048).

Almost surely, 212522889120 is an apocalyptic number.

12522889120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12522889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435465216).

12522889120 is an abundant number, since it is smaller than the sum of its proper divisors (24348041312).

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

12522889120 is a wasteful number, since it uses less digits than its factorization.

12522889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 12522889120 in words is "twelve billion, five hundred twenty-two million, eight hundred eighty-nine thousand, one hundred twenty".