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12212112000 = 2735311101229
BaseRepresentation
bin10110101111110011…
…00000101010000000
31011112002020120022110
423113321200222000
5200002300041000
65335443535320
7611425145034
oct132771405200
934462216273
1012212112000
1151a7467550
12244998a540
1311c809ca9a
1483bc741c4
154b71bd850
hex2d7e60a80

12212112000 has 512 divisors, whose sum is σ = 44795462400. Its totient is φ = 2918400000.

The previous prime is 12212111981. The next prime is 12212112001. The reversal of 12212112000 is 21121221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12212112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53327886 + ... + 53328114.

Almost surely, 212212112000 is an apocalyptic number.

12212112000 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 12212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22397731200).

12212112000 is an abundant number, since it is smaller than the sum of its proper divisors (32583350400).

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

12212112000 is a wasteful number, since it uses less digits than its factorization.

12212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212112000 its reverse (21121221), we get a palindrome (12233233221).

The spelling of 12212112000 in words is "twelve billion, two hundred twelve million, one hundred twelve thousand".