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1122121020000 = 2535461330509
BaseRepresentation
bin10000010101000011100…
…111111111001001100000
310222021101112200000102210
4100111003213333021200
5121341100440120000
62215254551442120
7144033130203141
oct20250347771140
93867345600383
101122121020000
113a2986075802
12161584086340
1381a7aa20516
143c44d34bac8
151e2c7a37350
hex105439ff260

1122121020000 has 240 divisors, whose sum is σ = 3686906749680. Its totient is φ = 298734336000.

The previous prime is 1122121019953. The next prime is 1122121020011. The reversal of 1122121020000 is 201212211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36764746 + ... + 36795254.

It is an arithmetic number, because the mean of its divisors is an integer number (15362111457).

Almost surely, 21122121020000 is an apocalyptic number.

1122121020000 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 1122121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843453374840).

1122121020000 is an abundant number, since it is smaller than the sum of its proper divisors (2564785729680).

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

1122121020000 is an equidigital number, since it uses as much as digits as its factorization.

1122121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31155 (or 31132 counting only the distinct ones).

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

Adding to 1122121020000 its reverse (201212211), we get a palindrome (1122322232211).

The spelling of 1122121020000 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty thousand".