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1320124431120 = 24351112728313913
BaseRepresentation
bin10011001101011101100…
…011000011101100010000
311200012110202000110212220
4103031131203003230100
5133112103323243440
62450242400021040
7164242625343255
oct23153543035420
94605422013786
101320124431120
1146995290a150
12193a23001780
13976444bab51
1447c741c142c
1524515a6e8d0
hex1335d8c3b10

1320124431120 has 320 divisors, whose sum is σ = 4515797827584. Its totient is φ = 316365557760.

The previous prime is 1320124431107. The next prime is 1320124431133. The reversal of 1320124431120 is 211344210231.

It is an interprime number because it is at equal distance from previous prime (1320124431107) and next prime (1320124431133).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 94877284 + ... + 94891196.

Almost surely, 21320124431120 is an apocalyptic number.

1320124431120 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 1320124431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257898913792).

1320124431120 is an abundant number, since it is smaller than the sum of its proper divisors (3195673396464).

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

1320124431120 is a wasteful number, since it uses less digits than its factorization.

1320124431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14350 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1320124431120 its reverse (211344210231), we get a palindrome (1531468641351).

The spelling of 1320124431120 in words is "one trillion, three hundred twenty billion, one hundred twenty-four million, four hundred thirty-one thousand, one hundred twenty".