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12324235345440 = 253517337913789
BaseRepresentation
bin1011001101010111010110…
…1010110111111000100000
31121122012000011002020111020
42303111311222313320200
53103410013222023230
642113401530445440
72411253016663554
oct263256552677040
947565004066436
1012324235345440
113a21751618907
121470629593880
136b522a4c8b85
143086d36dd864
151658ad0ac810
hexb3575ab7e20

12324235345440 has 384 divisors, whose sum is σ = 41359012128000. Its totient is φ = 3084756369408.

The previous prime is 12324235345369. The next prime is 12324235345463. The reversal of 12324235345440 is 4454353242321.

It is a super-2 number, since 2×123242353454402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12324235345392 and 12324235345401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 893766066 + ... + 893779854.

It is an arithmetic number, because the mean of its divisors is an integer number (107705760750).

Almost surely, 212324235345440 is an apocalyptic number.

12324235345440 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 12324235345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20679506064000).

12324235345440 is an abundant number, since it is smaller than the sum of its proper divisors (29034776782560).

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

12324235345440 is a wasteful number, since it uses less digits than its factorization.

12324235345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14195 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 12324235345440 its reverse (4454353242321), we get a palindrome (16778588587761).

The spelling of 12324235345440 in words is "twelve trillion, three hundred twenty-four billion, two hundred thirty-five million, three hundred forty-five thousand, four hundred forty".