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20122111020000 = 253541147996353
BaseRepresentation
bin1001001001101000010110…
…10001111000101111100000
32122020122200111220001012010
410210310023101320233200
510114140040410120000
6110443545321032520
74144526445406353
oct444641321705740
978218614801163
1020122111020000
1164588150a7790
12230b972325740
13b2c678946b62
144d7cb5abc29a
1524d65032dd50
hex124d0b478be0

20122111020000 has 480 divisors, whose sum is σ = 72031302604800. Its totient is φ = 4876303360000.

The previous prime is 20122111019993. The next prime is 20122111020013. The reversal of 20122111020000 is 2011122102.

20122111020000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3167336824 + ... + 3167343176.

It is an arithmetic number, because the mean of its divisors is an integer number (150065213760).

Almost surely, 220122111020000 is an apocalyptic number.

20122111020000 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 20122111020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36015651302400).

20122111020000 is an abundant number, since it is smaller than the sum of its proper divisors (51909191584800).

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

20122111020000 is a wasteful number, since it uses less digits than its factorization.

20122111020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11196 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20122111020000 its reverse (2011122102), we get a palindrome (20124122142102).

The spelling of 20122111020000 in words is "twenty trillion, one hundred twenty-two billion, one hundred eleven million, twenty thousand".