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12220100100 = 223352132315137
BaseRepresentation
bin10110110000101111…
…11110111000000100
31011112122021101221000
423120113332320010
5200011321200400
65340331053300
7611553064665
oct133027767004
934478241830
1012220100100
115200a2308a
1224505a1230
1311c9938980
1483cd5336c
154b7c4a600
hex2d85fee04

12220100100 has 288 divisors, whose sum is σ = 44149674240. Its totient is φ = 2877050880.

The previous prime is 12220100093. The next prime is 12220100129. The reversal of 12220100100 is 100102221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 799732 + ... + 814868.

It is an arithmetic number, because the mean of its divisors is an integer number (153297480).

Almost surely, 212220100100 is an apocalyptic number.

12220100100 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 12220100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22074837120).

12220100100 is an abundant number, since it is smaller than the sum of its proper divisors (31929574140).

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

12220100100 is a wasteful number, since it uses less digits than its factorization.

12220100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15196 (or 15183 counting only the distinct ones).

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

Adding to 12220100100 its reverse (100102221), we get a palindrome (12320202321).

The spelling of 12220100100 in words is "twelve billion, two hundred twenty million, one hundred thousand, one hundred".