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12220222121100 = 22335275315977639
BaseRepresentation
bin1011000111010011110111…
…1111111010010010001100
31121021020112021211222102000
42301310331333322102030
53100204003330333400
641553520442232300
72400611332112550
oct261647577722214
947236467758360
1012220222121100
113991626896984
12145443b7b5690
136a8492417696
14303667685860
15162d21889600
hexb1d3dffa48c

12220222121100 has 576 divisors, whose sum is σ = 45779769907200. Its totient is φ = 2738417310720.

The previous prime is 12220222121071. The next prime is 12220222121131. The reversal of 12220222121100 is 112122202221.

It is a happy number.

12220222121100 is a `hidden beast` number, since 1 + 2 + 220 + 222 + 121 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1599711081 + ... + 1599718719.

It is an arithmetic number, because the mean of its divisors is an integer number (79478767200).

Almost surely, 212220222121100 is an apocalyptic number.

12220222121100 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 12220222121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889884953600).

12220222121100 is an abundant number, since it is smaller than the sum of its proper divisors (33559547786100).

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

12220222121100 is a wasteful number, since it uses less digits than its factorization.

12220222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220222121100 its reverse (112122202221), we get a palindrome (12332344323321).

The spelling of 12220222121100 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".