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1220020221120 = 2635172319916333
BaseRepresentation
bin10001110000001110110…
…111110011010011000000
311022122002022021201101120
4101300032313303103000
5124442100134033440
62332245231232240
7154100144526441
oct21601667632300
94278068251346
101220020221120
11430453677588
12178546378680
138b0802225ac
14430993952c8
1521b075ecdd0
hex11c0edf34c0

1220020221120 has 448 divisors, whose sum is σ = 4301513164800. Its totient is φ = 291398418432.

The previous prime is 1220020221109. The next prime is 1220020221139. The reversal of 1220020221120 is 211220200221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1220020221120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74688474 + ... + 74704806.

Almost surely, 21220020221120 is an apocalyptic number.

1220020221120 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 1220020221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150756582400).

1220020221120 is an abundant number, since it is smaller than the sum of its proper divisors (3081492943680).

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

1220020221120 is a wasteful number, since it uses less digits than its factorization.

1220020221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1220020221120 its reverse (211220200221), we get a palindrome (1431240421341).

The spelling of 1220020221120 in words is "one trillion, two hundred twenty billion, twenty million, two hundred twenty-one thousand, one hundred twenty".