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12053452112240 = 24571147149279413
BaseRepresentation
bin1010111101100110100110…
…1110110100000101110000
31120200022001210122202011012
42233121221232310011300
53034440432220042430
641345140210210052
72352555531325310
oct257315156640560
946608053582135
1012053452112240
113927927536980
121428058883928
13695835700076
142d95669a3440
1515d8108b3695
hexaf669bb4170

12053452112240 has 320 divisors, whose sum is σ = 35922357964800. Its totient is φ = 3652294840320.

The previous prime is 12053452112237. The next prime is 12053452112269. The reversal of 12053452112240 is 4221125435021.

It is a junction number, because it is equal to n+sod(n) for n = 12053452112197 and 12053452112206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42998774 + ... + 43278186.

It is an arithmetic number, because the mean of its divisors is an integer number (112257368640).

Almost surely, 212053452112240 is an apocalyptic number.

12053452112240 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 12053452112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961178982400).

12053452112240 is an abundant number, since it is smaller than the sum of its proper divisors (23868905852560).

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

12053452112240 is a wasteful number, since it uses less digits than its factorization.

12053452112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279640 (or 279634 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 12053452112240 its reverse (4221125435021), we get a palindrome (16274577547261).

The spelling of 12053452112240 in words is "twelve trillion, fifty-three billion, four hundred fifty-two million, one hundred twelve thousand, two hundred forty".