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12212211002112 = 2832112397215983
BaseRepresentation
bin1011000110110110000001…
…1111111010101100000000
31121020110211222111222010100
42301231200133322230000
53100041102004031422
641550113504202400
72400205654532532
oct261554037725400
947213758458110
1012212211002112
113989195814690
121452984909400
136a77b67b05a4
14303107725852
15162a033e47ac
hexb1b607fab00

12212211002112 has 432 divisors, whose sum is σ = 40495279039488. Its totient is φ = 3503262597120.

The previous prime is 12212211002041. The next prime is 12212211002149. The reversal of 12212211002112 is 21120011221221.

12212211002112 is a `hidden beast` number, since 1 + 221 + 221 + 10 + 0 + 211 + 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, 56434473 + ... + 56650455.

Almost surely, 212212211002112 is an apocalyptic number.

12212211002112 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 12212211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20247639519744).

12212211002112 is an abundant number, since it is smaller than the sum of its proper divisors (28283068037376).

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

12212211002112 is a wasteful number, since it uses less digits than its factorization.

12212211002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216136 (or 216119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212211002112 its reverse (21120011221221), we get a palindrome (33332222223333).

The spelling of 12212211002112 in words is "twelve trillion, two hundred twelve billion, two hundred eleven million, two thousand, one hundred twelve".