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1123122000000 = 2735671121317
BaseRepresentation
bin10000010101111111010…
…010011011000010000000
310222100222022012001212010
4100111333102123002000
5121400123213000000
62215542150132520
7144100003325160
oct20257722330200
93870868161763
101123122000000
113a334a0a8900
12161803351140
1381baa211790
143c5062725a0
151e33585dd50
hex1057f49b080

1123122000000 has 2688 divisors, whose sum is σ = 5341544127360. Its totient is φ = 202752000000.

The previous prime is 1123121999941. The next prime is 1123122000001. The reversal of 1123122000000 is 2213211.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×11231220000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1123122000000.

It is not an unprimeable number, because it can be changed into a prime (1123122000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 66065999992 + ... + 66066000008.

It is an arithmetic number, because the mean of its divisors is an integer number (1987181595).

Almost surely, 21123122000000 is an apocalyptic number.

1123122000000 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 1123122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670772063680).

1123122000000 is an abundant number, since it is smaller than the sum of its proper divisors (4218422127360).

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

1123122000000 is an equidigital number, since it uses as much as digits as its factorization.

1123122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1123122000000 its reverse (2213211), we get a palindrome (1123124213211).

The spelling of 1123122000000 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-two million", and thus it is an aban number.