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12100221000 = 23325372937179
BaseRepresentation
bin10110100010011101…
…01011100001001000
31011020021200220201100
423101032223201020
5144240124033000
65320405421400
7605566116150
oct132116534110
934207626640
1012100221000
11514a29414a
12241840a860
1311aab54aaa
1482b069760
154ac46aa00
hex2d13ab848

12100221000 has 768 divisors, whose sum is σ = 49937472000. Its totient is φ = 2583705600.

The previous prime is 12100220999. The next prime is 12100221043. The reversal of 12100221000 is 12200121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67598911 + ... + 67599089.

It is an arithmetic number, because the mean of its divisors is an integer number (65022750).

Almost surely, 212100221000 is an apocalyptic number.

12100221000 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 12100221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24968736000).

12100221000 is an abundant number, since it is smaller than the sum of its proper divisors (37837251000).

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

12100221000 is a wasteful number, since it uses less digits than its factorization.

12100221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100221000 its reverse (12200121), we get a palindrome (12112421121).

The spelling of 12100221000 in words is "twelve billion, one hundred million, two hundred twenty-one thousand".