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12311003220120 = 233251137611377421
BaseRepresentation
bin1011001100100110000011…
…1110010100100010011000
31121120220211222111121221200
42303021200332110202120
53103200413311020440
642103332524234200
72410304064531663
oct263114076244230
947526758447850
1012311003220120
113a17081409250
121469b5609b960
136b3bcc002717
14307bda1cc6da
151653865a7c30
hexb3260f94898

12311003220120 has 384 divisors, whose sum is σ = 45562695497280. Its totient is φ = 2856218112000.

The previous prime is 12311003220073. The next prime is 12311003220149. The reversal of 12311003220120 is 2102230011321.

12311003220120 is a `hidden beast` number, since 1 + 231 + 100 + 322 + 0 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12311003220093 and 12311003220102.

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 95 ways as a sum of consecutive naturals, for example, 8249010 + ... + 9626430.

Almost surely, 212311003220120 is an apocalyptic number.

12311003220120 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 12311003220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781347748640).

12311003220120 is an abundant number, since it is smaller than the sum of its proper divisors (33251692277160).

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

12311003220120 is a wasteful number, since it uses less digits than its factorization.

12311003220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377547 (or 1377540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12311003220120 its reverse (2102230011321), we get a palindrome (14413233231441).

The spelling of 12311003220120 in words is "twelve trillion, three hundred eleven billion, three million, two hundred twenty thousand, one hundred twenty".