Search a number
-
+
12120221212000 = 255311563673727
BaseRepresentation
bin1011000001011111010101…
…1110101101110101100000
31120220200102001111110002221
42300113311132231311200
53042034203112241000
641435541443520424
72360441244316606
oct260276536556540
946820361443087
1012120221212000
11395317a99a860
121438b91689114
1369bc1667a215
142dc89c469876
1516041c52061a
hexb05f57add60

12120221212000 has 384 divisors, whose sum is σ = 32637491647488. Its totient is φ = 4386945024000.

The previous prime is 12120221211913. The next prime is 12120221212051. The reversal of 12120221212000 is 21212202121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 16671555637 + ... + 16671556363.

It is an arithmetic number, because the mean of its divisors is an integer number (84993467832).

Almost surely, 212120221212000 is an apocalyptic number.

12120221212000 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 12120221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318745823744).

12120221212000 is an abundant number, since it is smaller than the sum of its proper divisors (20517270435488).

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

12120221212000 is a wasteful number, since it uses less digits than its factorization.

12120221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120221212000 its reverse (21212202121), we get a palindrome (12141433414121).

The spelling of 12120221212000 in words is "twelve trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand".