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20120200011000 = 233553743111439
BaseRepresentation
bin1001001001100100110010…
…10111111101110011111000
32122020110202022222201200000
410210302121113331303320
510114122132200323000
6110443031533313000
74144431212165505
oct444623127756370
978213668881600
1020120200011000
116457a24412401
12230b51a335760
13b2c432a5a3bb
144d7b73d8a4ac
1524d58c699000
hex124c995fdcf8

20120200011000 has 384 divisors, whose sum is σ = 70620579993600. Its totient is φ = 5358117340800.

The previous prime is 20120200010941. The next prime is 20120200011001. The reversal of 20120200011000 is 11000202102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120200011001) 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, 180493281 + ... + 180604719.

It is an arithmetic number, because the mean of its divisors is an integer number (183907760400).

Almost surely, 220120200011000 is an apocalyptic number.

20120200011000 is a gapful number since it is divisible by the number (20) 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 20120200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310289996800).

20120200011000 is an abundant number, since it is smaller than the sum of its proper divisors (50500379982600).

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

20120200011000 is a wasteful number, since it uses less digits than its factorization.

20120200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112218 (or 112192 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20120200011000 its reverse (11000202102), we get a palindrome (20131200213102).

The spelling of 20120200011000 in words is "twenty trillion, one hundred twenty billion, two hundred million, eleven thousand".