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12022222221984 = 25313311033300821
BaseRepresentation
bin1010111011110010010001…
…0010001111001010100000
31120120022110100002221112010
42232330210102033022200
53033433002342100414
641322533241232520
72350401605540502
oct256744422171240
946508410087463
1012022222221984
113915661031117
121421ba1a92740
136928c95a9770
142d7c43087d72
1515cad3ce7959
hexaef2448f2a0

12022222221984 has 192 divisors, whose sum is σ = 35116294929408. Its totient is φ = 3576340684800.

The previous prime is 12022222221917. The next prime is 12022222222051. The reversal of 12022222221984 is 48912222222021.

It is an interprime number because it is at equal distance from previous prime (12022222221917) and next prime (12022222222051).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39814294 + ... + 40115114.

It is an arithmetic number, because the mean of its divisors is an integer number (182897369424).

Almost surely, 212022222221984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022222221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558147464704).

12022222221984 is an abundant number, since it is smaller than the sum of its proper divisors (23094072707424).

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

12022222221984 is a wasteful number, since it uses less digits than its factorization.

12022222221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301911 (or 301903 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 12022222221984 in words is "twelve trillion, twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, nine hundred eighty-four".