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12303879920640 = 2103357112694297
BaseRepresentation
bin1011001100001011100001…
…1001000101110000000000
31121120020110112202112002000
42303002320121011300000
53103041321224430030
642100154023224000
72406632420510010
oct263027031056000
947506415675060
1012303879920640
113a140564a9990
1214686a85a8000
136b33352b8b09
14307722137c40
151650bb035860
hexb30b8645c00

12303879920640 has 1408 divisors, whose sum is σ = 54730635724800. Its totient is φ = 2546553323520.

The previous prime is 12303879920617. The next prime is 12303879920641. The reversal of 12303879920640 is 4602997830321.

12303879920640 is a `hidden beast` number, since 1 + 2 + 303 + 8 + 7 + 99 + 206 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×123038799206402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303879920641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2863362972 + ... + 2863367268.

Almost surely, 212303879920640 is an apocalyptic number.

12303879920640 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 12303879920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27365317862400).

12303879920640 is an abundant number, since it is smaller than the sum of its proper divisors (42426755804160).

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

12303879920640 is a wasteful number, since it uses less digits than its factorization.

12303879920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12303879920640 in words is "twelve trillion, three hundred three billion, eight hundred seventy-nine million, nine hundred twenty thousand, six hundred forty".