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12423505511040 = 2735132923171867
BaseRepresentation
bin1011010011001001001010…
…1000100000001010000000
31121222200020110102011011020
42310302102220200022000
53112021314402323130
642231140222545440
72421366022322151
oct264622250401200
947880213364136
1012423505511040
113a5a862a87588
121487912a38280
136c16baa51730
1430d42d85b928
1516826d1cee10
hexb4c92a20280

12423505511040 has 768 divisors, whose sum is σ = 44330395374720. Its totient is φ = 2941751328768.

The previous prime is 12423505510963. The next prime is 12423505511041. The reversal of 12423505511040 is 4011550532421.

It is a junction number, because it is equal to n+sod(n) for n = 12423505510992 and 12423505511010.

It is not an unprimeable number, because it can be changed into a prime (12423505511041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6654260187 + ... + 6654262053.

Almost surely, 212423505511040 is an apocalyptic number.

12423505511040 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 12423505511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165197687360).

12423505511040 is an abundant number, since it is smaller than the sum of its proper divisors (31906889863680).

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

12423505511040 is a wasteful number, since it uses less digits than its factorization.

12423505511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 12423505511040 in words is "twelve trillion, four hundred twenty-three billion, five hundred five million, five hundred eleven thousand, forty".