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12023421424000 = 275373153223293
BaseRepresentation
bin1010111011110110101111…
…0000110101000110000000
31120120102112220121201102121
42232331223300311012000
53033442431341032000
641323252240254024
72350443406563340
oct256755360650600
946512486551377
1012023421424000
113916116a42368
121422277611314
13692a5ab8195c
142d7d1844ad20
1515cb54226b1a
hexaef6bc35180

12023421424000 has 1024 divisors, whose sum is σ = 36215447224320. Its totient is φ = 3883216896000.

The previous prime is 12023421423989. The next prime is 12023421424009. The reversal of 12023421424000 is 42412432021.

12023421424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023421424009) 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, 41035567854 + ... + 41035568146.

It is an arithmetic number, because the mean of its divisors is an integer number (35366647680).

Almost surely, 212023421424000 is an apocalyptic number.

12023421424000 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 12023421424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107723612160).

12023421424000 is an abundant number, since it is smaller than the sum of its proper divisors (24192025800320).

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

12023421424000 is a wasteful number, since it uses less digits than its factorization.

12023421424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12023421424000 its reverse (42412432021), we get a palindrome (12065833856021).

The spelling of 12023421424000 in words is "twelve trillion, twenty-three billion, four hundred twenty-one million, four hundred twenty-four thousand".