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12212202200112 = 24325910316938243
BaseRepresentation
bin1011000110110101111111…
…1110010101110000110000
31121020110211100221210001100
42301231133332111300300
53100041042230400422
641550112551404400
72400205516652655
oct261553776256060
947213740853040
1012212202200112
113989190852602
121452981983700
136a77b4a1b0c5
143031064b3c2c
15162a027567ac
hexb1b5ff95c30

12212202200112 has 240 divisors, whose sum is σ = 35118909745920. Its totient is φ = 3960065521152.

The previous prime is 12212202200089. The next prime is 12212202200131. The reversal of 12212202200112 is 21100220221221.

It is a happy number.

12212202200112 is a `hidden beast` number, since 1 + 221 + 220 + 220 + 0 + 1 + 1 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 1481519863 + ... + 1481528105.

It is an arithmetic number, because the mean of its divisors is an integer number (146328790608).

Almost surely, 212212202200112 is an apocalyptic number.

12212202200112 is a gapful number since it is divisible by the number (12) 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 12212202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559454872960).

12212202200112 is an abundant number, since it is smaller than the sum of its proper divisors (22906707545808).

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

12212202200112 is a wasteful number, since it uses less digits than its factorization.

12212202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 10103 counting only the distinct ones).

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

Adding to 12212202200112 its reverse (21100220221221), we get a palindrome (33312422421333).

The spelling of 12212202200112 in words is "twelve trillion, two hundred twelve billion, two hundred two million, two hundred thousand, one hundred twelve".