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12001211222000 = 245374111317477
BaseRepresentation
bin1010111010100011111111…
…1011101000011111110000
31120111022020001012120000112
42232220333323220133300
53033111440033101000
641305140314440452
72346026126150000
oct256507773503760
946438201176015
1012001211222000
113907759955920
121419ab9433128
1369092b612bb0
142d6c0c7d0000
1515c2a4426235
hexaea3fee87f0

12001211222000 has 800 divisors, whose sum is σ = 39774105169344. Its totient is φ = 3452698368000.

The previous prime is 12001211221921. The next prime is 12001211222027. The reversal of 12001211222000 is 22211210021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 686677262 + ... + 686694738.

Almost surely, 212001211222000 is an apocalyptic number.

12001211222000 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 12001211222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887052584672).

12001211222000 is an abundant number, since it is smaller than the sum of its proper divisors (27772893947344).

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

12001211222000 is a wasteful number, since it uses less digits than its factorization.

12001211222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17552 (or 17515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12001211222000 its reverse (22211210021), we get a palindrome (12023422432021).

The spelling of 12001211222000 in words is "twelve trillion, one billion, two hundred eleven million, two hundred twenty-two thousand".