Search a number
-
+
12202110960 = 2435132595099
BaseRepresentation
bin10110101110100110…
…10110111111110000
31011111101102110110120
423113103112333300
5144442220022320
65334445330240
7611244142344
oct132723267760
934441373416
1012202110960
1151a1856626
122446566980
1311c5caa900
1483a7cd624
154b6395440
hex2d74d6ff0

12202110960 has 240 divisors, whose sum is σ = 41662512000. Its totient is φ = 2952109056.

The previous prime is 12202110959. The next prime is 12202111007. The reversal of 12202110960 is 6901120221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12202110960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390491 + ... + 2395589.

It is an arithmetic number, because the mean of its divisors is an integer number (173593800).

Almost surely, 212202110960 is an apocalyptic number.

12202110960 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 12202110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20831256000).

12202110960 is an abundant number, since it is smaller than the sum of its proper divisors (29460401040).

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

12202110960 is a wasteful number, since it uses less digits than its factorization.

12202110960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12202110960 in words is "twelve billion, two hundred two million, one hundred ten thousand, nine hundred sixty".