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12121344024 = 233505056001
BaseRepresentation
bin10110100100111110…
…10000100000011000
31011021202110002001120
423102133100200120
5144311031002044
65322442245240
7606243503256
oct132237204030
934252402046
1012121344024
115160201199
1224234b6820
1311b233c41a
1482dba75d6
154ae23e519
hex2d27d0818

12121344024 has 16 divisors (see below), whose sum is σ = 30303360120. Its totient is φ = 4040448000.

The previous prime is 12121344013. The next prime is 12121344043. The reversal of 12121344024 is 42044312121.

It is a super-3 number, since 3×121213440243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 505056001 = 12121344024 / (1 + 2 + 1 + 2 + 1 + 3 + 4 + 4 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 12121343985 and 12121344003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252527977 + ... + 252528024.

Almost surely, 212121344024 is an apocalyptic number.

It is an amenable number.

12121344024 is an abundant number, since it is smaller than the sum of its proper divisors (18182016096).

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

12121344024 is a wasteful number, since it uses less digits than its factorization.

12121344024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505056010 (or 505056006 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12121344024 its reverse (42044312121), we get a palindrome (54165656145).

The spelling of 12121344024 in words is "twelve billion, one hundred twenty-one million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 505056001 1010112002 1515168003 2020224004 3030336006 4040448008 6060672012 12121344024