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1220221230000 = 243541913915401
BaseRepresentation
bin10001110000011010110…
…110100101101110110000
311022122121022112000201220
4101300122312211232300
5124443003113330000
62332321211425040
7154105135215243
oct21603266455660
94278538460656
101220221230000
11430547089523
121785a1755180
138b0b2a70b66
14430b7d5b25a
1521b1a0a61a0
hex11c1ada5bb0

1220221230000 has 400 divisors, whose sum is σ = 4176455606400. Its totient is φ = 306028800000.

The previous prime is 1220221229989. The next prime is 1220221230013. The reversal of 1220221230000 is 321220221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79222300 + ... + 79237700.

It is an arithmetic number, because the mean of its divisors is an integer number (10441139016).

Almost surely, 21220221230000 is an apocalyptic number.

1220221230000 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 1220221230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088227803200).

1220221230000 is an abundant number, since it is smaller than the sum of its proper divisors (2956234376400).

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

1220221230000 is a wasteful number, since it uses less digits than its factorization.

1220221230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15590 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1220221230000 its reverse (321220221), we get a palindrome (1220542450221).

It can be divided in two parts, 12 and 20221230000, that multiplied together give a square (242654760000 = 4926002).

The spelling of 1220221230000 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred thirty thousand".