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1220221110000 = 24354293134481
BaseRepresentation
bin10001110000011010110…
…110001000011011110000
311022122121022021221010110
4101300122312020123300
5124443003101010000
62332321205101320
7154105134205344
oct21603266103360
94278538257113
101220221110000
11430547007352
121785a16b7840
138b0b2a2b359
14430b7d29624
1521b1a080850
hex11c1ad886f0

1220221110000 has 400 divisors, whose sum is σ = 4088796291360. Its totient is φ = 313098240000.

The previous prime is 1220221109981. The next prime is 1220221110013. The reversal of 1220221110000 is 111220221.

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 (12).

It is a congruent number.

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, 272307760 + ... + 272312240.

Almost surely, 21220221110000 is an apocalyptic number.

1220221110000 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 1220221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044398145680).

1220221110000 is an abundant number, since it is smaller than the sum of its proper divisors (2868575181360).

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

1220221110000 is a wasteful number, since it uses less digits than its factorization.

1220221110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220221110000 its reverse (111220221), we get a palindrome (1220332330221).

The spelling of 1220221110000 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, one hundred ten thousand".