Search a number
-
+
12211540000 = 255411471181
BaseRepresentation
bin10110101111101110…
…10101000000100000
31011112001011111200021
423113313111000200
5200002123240000
65335423403224
7611420243302
oct132767250040
934461144607
1012211540000
1151a7106820
122449753514
1311c7c2c61a
1483bb65972
154b710911a
hex2d7dd5020

12211540000 has 240 divisors, whose sum is σ = 33498976896. Its totient is φ = 4342400000.

The previous prime is 12211539973. The next prime is 12211540001. The reversal of 12211540000 is 4511221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12211540001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10339410 + ... + 10340590.

Almost surely, 212211540000 is an apocalyptic number.

12211540000 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 12211540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749488448).

12211540000 is an abundant number, since it is smaller than the sum of its proper divisors (21287436896).

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

12211540000 is a wasteful number, since it uses less digits than its factorization.

12211540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The spelling of 12211540000 in words is "twelve billion, two hundred eleven million, five hundred forty thousand".