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1241123323440 = 24357111317319803
BaseRepresentation
bin10010000011111000101…
…101101111111000110000
311101122120000111101112210
4102003320231233320300
5130313310032322230
62350055244052120
7155445123120210
oct22037055577060
94348500441483
101241123323440
114393a283a710
12180655834040
13900642c5ca0
14440dbd86240
1522440113eb0
hex120f8b6fe30

1241123323440 has 1280 divisors, whose sum is σ = 5646742585344. Its totient is φ = 216804556800.

The previous prime is 1241123323403. The next prime is 1241123323511. The reversal of 1241123323440 is 443233211421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1241123323398 and 1241123323407.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126601579 + ... + 126611381.

Almost surely, 21241123323440 is an apocalyptic number.

1241123323440 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 1241123323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823371292672).

1241123323440 is an abundant number, since it is smaller than the sum of its proper divisors (4405619261904).

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

1241123323440 is a wasteful number, since it uses less digits than its factorization.

1241123323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1241123323440 its reverse (443233211421), we get a palindrome (1684356534861).

The spelling of 1241123323440 in words is "one trillion, two hundred forty-one billion, one hundred twenty-three million, three hundred twenty-three thousand, four hundred forty".