Search a number
-
+
12200969088 = 2734711172931
BaseRepresentation
bin10110101110011110…
…00000001110000000
31011111022021110010000
423113033000032000
5144441422002323
65334405040000
7611231345310
oct132717001600
934438243100
1012200969088
1151a1146730
1224460b6000
1311c599ac49
1483a5b3440
154b621be43
hex2d73c0380

12200969088 has 1280 divisors, whose sum is σ = 51184742400. Its totient is φ = 2786918400.

The previous prime is 12200969087. The next prime is 12200969101. The reversal of 12200969088 is 88096900221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200969083) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 393579633 + ... + 393579663.

It is an arithmetic number, because the mean of its divisors is an integer number (39988080).

Almost surely, 212200969088 is an apocalyptic number.

12200969088 is a gapful number since it is divisible by the number (18) 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 12200969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592371200).

12200969088 is an abundant number, since it is smaller than the sum of its proper divisors (38983773312).

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

12200969088 is a wasteful number, since it uses less digits than its factorization.

12200969088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12200969088 in words is "twelve billion, two hundred million, nine hundred sixty-nine thousand, eighty-eight".