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12222000021000 = 23353711192784689
BaseRepresentation
bin1011000111011010011111…
…1110000011111000001000
31121021102010012021122120110
42301312213332003320020
53100221124001133000
641554413112554320
72401003361033310
oct261664776037010
947242105248513
1012222000021000
113992359426440
1214548570b29a0
136a86b686a463
14303795848440
15162dc79c9850
hexb1da7f83e08

12222000021000 has 512 divisors, whose sum is σ = 50044220928000. Its totient is φ = 2405970432000.

The previous prime is 12222000020977. The next prime is 12222000021001. The reversal of 12222000021000 is 12000022221.

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

It is not an unprimeable number, because it can be changed into a prime (12222000021001) 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 127 ways as a sum of consecutive naturals, for example, 2996656 + ... + 5781344.

It is an arithmetic number, because the mean of its divisors is an integer number (97742619000).

Almost surely, 212222000021000 is an apocalyptic number.

12222000021000 is a gapful number since it is divisible by the number (10) 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 12222000021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25022110464000).

12222000021000 is an abundant number, since it is smaller than the sum of its proper divisors (37822220907000).

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

12222000021000 is a wasteful number, since it uses less digits than its factorization.

12222000021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784750 (or 2784736 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12222000021000 its reverse (12000022221), we get a palindrome (12234000043221).

The spelling of 12222000021000 in words is "twelve trillion, two hundred twenty-two billion, twenty-one thousand".