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112220201212200 = 2333521768310211753
BaseRepresentation
bin11001100001000001001101…
…001110101101100100101000
3112201100010221202211020002000
4121201001031032231210220
5104202103433002242300
61034401125421011000
732431433125452204
oct3141011516554450
9481303852736060
10112220201212200
1132836358011974
121070503a3b3a60
134a8042011c5a3
141d9d6b57b3b04
15ce91893c8c00
hex66104d3ad928

112220201212200 has 768 divisors, whose sum is σ = 410508388281600. Its totient is φ = 28080259891200.

The previous prime is 112220201212193. The next prime is 112220201212261. The reversal of 112220201212200 is 2212102022211.

It is a happy number.

112220201212200 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 201 + 21 + 220 + 0 = 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, 64016086524 + ... + 64016088276.

It is an arithmetic number, because the mean of its divisors is an integer number (534516130575).

Almost surely, 2112220201212200 is an apocalyptic number.

112220201212200 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 112220201212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254194140800).

112220201212200 is an abundant number, since it is smaller than the sum of its proper divisors (298288187069400).

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

112220201212200 is a wasteful number, since it uses less digits than its factorization.

112220201212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3484 counting only the distinct ones).

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

Adding to 112220201212200 its reverse (2212102022211), we get a palindrome (114432303234411).

The spelling of 112220201212200 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred one million, two hundred twelve thousand, two hundred".