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12120122222000 = 24531317242311317
BaseRepresentation
bin1011000001011110111110…
…0101000110010110110000
31120220200011011020020100122
42300113233211012112300
53042034002242101000
641435523550105412
72360435633032202
oct260275745062660
946820134206318
1012120122222000
11395312a029141
121438b644ab268
1369bbcbccb360
142dc88d25c772
151604139ba085
hexb05ef9465b0

12120122222000 has 320 divisors, whose sum is σ = 33434061583104. Its totient is φ = 4209769267200.

The previous prime is 12120122221973. The next prime is 12120122222023. The reversal of 12120122222000 is 22222102121.

It is a happy number.

12120122222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12120122222000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070960342 + ... + 1070971658.

Almost surely, 212120122222000 is an apocalyptic number.

12120122222000 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 12120122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717030791552).

12120122222000 is an abundant number, since it is smaller than the sum of its proper divisors (21313939361104).

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

12120122222000 is a wasteful number, since it uses less digits than its factorization.

12120122222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12120122222000 its reverse (22222102121), we get a palindrome (12142344324121).

The spelling of 12120122222000 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand".