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1128222600960 = 283574139413
BaseRepresentation
bin10000011010101111010…
…011101010111100000000
310222212010202212102222210
4100122233103222330000
5121441044441212320
62222144233502120
7144340256610000
oct20325723527400
93885122772883
101128222600960
113a55272778a4
121627a7571940
1382510b64560
143c86b840000
151e5335380e0
hex106af4eaf00

1128222600960 has 720 divisors, whose sum is σ = 4527385549344. Its totient is φ = 238017282048.

The previous prime is 1128222600959. The next prime is 1128222600983. The reversal of 1128222600960 is 690062228211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 119853214 + ... + 119862626.

Almost surely, 21128222600960 is an apocalyptic number.

1128222600960 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 1128222600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263692774672).

1128222600960 is an abundant number, since it is smaller than the sum of its proper divisors (3399162948384).

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

1128222600960 is an frugal number, since it uses more digits than its factorization.

1128222600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1128222600960 in words is "one trillion, one hundred twenty-eight billion, two hundred twenty-two million, six hundred thousand, nine hundred sixty".