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12000200211990 = 232529269119314327
BaseRepresentation
bin1010111010100000001110…
…1010111011111000010110
31120111012121120210221000100
42232220003222323320112
53033102402223240430
641304452121154530
72345662101541644
oct256500352737026
946435546727010
1012000200211990
1139072901a2061
12141987692ba46
136907ca01c513
142d6b54418194
1515c2457bc960
hexaea03abbe16

12000200211990 has 192 divisors, whose sum is σ = 32425805692800. Its totient is φ = 3075425912832.

The previous prime is 12000200211943. The next prime is 12000200211991. The reversal of 12000200211990 is 9911200200021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000200211991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 837586207 + ... + 837600533.

It is an arithmetic number, because the mean of its divisors is an integer number (168884404650).

Almost surely, 212000200211990 is an apocalyptic number.

12000200211990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000200211990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212902846400).

12000200211990 is an abundant number, since it is smaller than the sum of its proper divisors (20425605480810).

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

12000200211990 is a wasteful number, since it uses less digits than its factorization.

12000200211990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15831 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 12000200211990 in words is "twelve trillion, two hundred million, two hundred eleven thousand, nine hundred ninety".