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12212212012000 = 2553711213277273
BaseRepresentation
bin1011000110110110000010…
…0011110001001111100000
31121020110212001102021102121
42301231200203301033200
53100041102233341000
641550113541554024
72400205666240030
oct261554043611740
947213761367377
1012212212012000
113989196344400
121452985115914
136a77b6a75160
143031079098c0
15162a03543b1a
hexb1b608f13e0

12212212012000 has 576 divisors, whose sum is σ = 40592327997312. Its totient is φ = 3513590784000.

The previous prime is 12212212011997. The next prime is 12212212012009. The reversal of 12212212012000 is 21021221221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212212012009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43905364 + ... + 44182636.

It is an arithmetic number, because the mean of its divisors is an integer number (70472791662).

Almost surely, 212212212012000 is an apocalyptic number.

12212212012000 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 12212212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296163998656).

12212212012000 is an abundant number, since it is smaller than the sum of its proper divisors (28380115985312).

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

12212212012000 is a wasteful number, since it uses less digits than its factorization.

12212212012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277340 (or 277311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212212012000 its reverse (21021221221), we get a palindrome (12233233233221).

The spelling of 12212212012000 in words is "twelve trillion, two hundred twelve billion, two hundred twelve million, twelve thousand".