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12201021100992 = 263234169979631
BaseRepresentation
bin1011000110001100010110…
…0001110101001111000000
31121012101222010202002112010
42301203011201311033000
53044400142400212432
641541023253532520
72366331451123233
oct261430541651700
947171863662463
1012201021100992
113984473371319
121450781344140
136a6722426519
1430276554141a
1516259ad433cc
hexb18c58753c0

12201021100992 has 224 divisors, whose sum is σ = 34515538735104. Its totient is φ = 3794361753600.

The previous prime is 12201021100987. The next prime is 12201021101011. The reversal of 12201021100992 is 29900112010221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266844017 + ... + 1266853647.

It is an arithmetic number, because the mean of its divisors is an integer number (154087226496).

Almost surely, 212201021100992 is an apocalyptic number.

12201021100992 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 12201021100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17257769367552).

12201021100992 is an abundant number, since it is smaller than the sum of its proper divisors (22314517634112).

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

12201021100992 is a wasteful number, since it uses less digits than its factorization.

12201021100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16707 (or 16697 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 12201021100992 in words is "twelve trillion, two hundred one billion, twenty-one million, one hundred thousand, nine hundred ninety-two".