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12337425100000 = 255571113592089
BaseRepresentation
bin1011001110001000011111…
…0101110010110011100000
31121200110001100221012021101
42303202013311302303200
53104114021311200000
642123422421004144
72412230616024520
oct263420765626340
947613040835241
1012337425100000
113a272aa918710
1214730aa853654
136b654cca8680
143091c5341680
15165dd0ee2e6a
hexb3887d72ce0

12337425100000 has 1152 divisors, whose sum is σ = 41473395532800. Its totient is φ = 3487795200000.

The previous prime is 12337425099943. The next prime is 12337425100067. The reversal of 12337425100000 is 152473321.

12337425100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123374251000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5905898956 + ... + 5905901044.

It is an arithmetic number, because the mean of its divisors is an integer number (36001211400).

Almost surely, 212337425100000 is an apocalyptic number.

12337425100000 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 12337425100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736697766400).

12337425100000 is an abundant number, since it is smaller than the sum of its proper divisors (29135970432800).

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

12337425100000 is a wasteful number, since it uses less digits than its factorization.

12337425100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 12337425100000 its reverse (152473321), we get a palindrome (12337577573321).

The spelling of 12337425100000 in words is "twelve trillion, three hundred thirty-seven billion, four hundred twenty-five million, one hundred thousand".