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12120122220000 = 253541791128503
BaseRepresentation
bin1011000001011110111110…
…0101000101110111100000
31120220200011011020010121120
42300113233211011313200
53042034002242020000
641435523550052240
72360435633023314
oct260275745056740
946820134203546
1012120122220000
11395312a027693
121438b644aa080
1369bbcbcca482
142dc88d25bb44
151604139b96a0
hexb05ef945de0

12120122220000 has 240 divisors, whose sum is σ = 39978563264640. Its totient is φ = 3213973696000.

The previous prime is 12120122219957. The next prime is 12120122220023. The reversal of 12120122220000 is 2222102121.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 10175749 + ... + 11304251.

It is an arithmetic number, because the mean of its divisors is an integer number (166577346936).

Almost surely, 212120122220000 is an apocalyptic number.

12120122220000 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 12120122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989281632320).

12120122220000 is an abundant number, since it is smaller than the sum of its proper divisors (27858441044640).

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

12120122220000 is a wasteful number, since it uses less digits than its factorization.

12120122220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128715 (or 1128692 counting only the distinct ones).

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

Adding to 12120122220000 its reverse (2222102121), we get a palindrome (12122344322121).

The spelling of 12120122220000 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand".