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1220020001200 = 2452711134636581
BaseRepresentation
bin10001110000001110110…
…110111101100110110000
311022122002021212112201101
4101300032312331212300
5124442100110014300
62332245222414144
7154100142622330
oct21601666754660
94278067775641
101220020001200
11430453537330
12178546291354
138b080176470
14430993390c0
1521b075a7b6a
hex11c0edbd9b0

1220020001200 has 480 divisors, whose sum is σ = 3944559532032. Its totient is φ = 350203392000.

The previous prime is 1220020001173. The next prime is 1220020001203. The reversal of 1220020001200 is 21000200221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1220020001203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185381910 + ... + 185388490.

Almost surely, 21220020001200 is an apocalyptic number.

1220020001200 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 1220020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972279766016).

1220020001200 is an abundant number, since it is smaller than the sum of its proper divisors (2724539530832).

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

1220020001200 is a wasteful number, since it uses less digits than its factorization.

1220020001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7093 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1220020001200 its reverse (21000200221), we get a palindrome (1241020201421).

The spelling of 1220020001200 in words is "one trillion, two hundred twenty billion, twenty million, one thousand, two hundred".