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21012120222000 = 24353181183110567
BaseRepresentation
bin1001100011100010000111…
…11101100011100100110000
32202101201221210020000001220
410301301003331203210300
510223230310234101000
6112404500151025040
74266034632662055
oct461610375434460
982351853200056
1021012120222000
116771210098126
12243435866b180
13b955855b806b
14528dc625902c
152668906b91a0
hex131c43f63930

21012120222000 has 320 divisors, whose sum is σ = 68160998750208. Its totient is φ = 5568704640000.

The previous prime is 21012120221987. The next prime is 21012120222001. The reversal of 21012120222000 is 22202121012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21012120222001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1988460717 + ... + 1988471283.

Almost surely, 221012120222000 is an apocalyptic number.

21012120222000 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 21012120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34080499375104).

21012120222000 is an abundant number, since it is smaller than the sum of its proper divisors (47148878528208).

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

21012120222000 is a wasteful number, since it uses less digits than its factorization.

21012120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21012120222000 its reverse (22202121012), we get a palindrome (21034322343012).

The spelling of 21012120222000 in words is "twenty-one trillion, twelve billion, one hundred twenty million, two hundred twenty-two thousand".