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12001425408 = 211327191487
BaseRepresentation
bin10110010110101011…
…10011100000000000
31010222101210120122100
423023111303200000
5144034331103113
65302520110400
7603256301310
oct131325634000
933871716570
1012001425408
1150a95455a5
1223ab305400
13119354356b
1481bcad440
154a3952d73
hex2cb573800

12001425408 has 288 divisors, whose sum is σ = 39903252480. Its totient is φ = 3404021760.

The previous prime is 12001425407. The next prime is 12001425409. The reversal of 12001425408 is 80452410021.

It is an interprime number because it is at equal distance from previous prime (12001425407) and next prime (12001425409).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001425407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24643341 + ... + 24643827.

It is an arithmetic number, because the mean of its divisors is an integer number (138552960).

Almost surely, 212001425408 is an apocalyptic number.

12001425408 is a gapful number since it is divisible by the number (18) 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 12001425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951626240).

12001425408 is an abundant number, since it is smaller than the sum of its proper divisors (27901827072).

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

12001425408 is a wasteful number, since it uses less digits than its factorization.

12001425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12001425408 its reverse (80452410021), we get a palindrome (92453835429).

The spelling of 12001425408 in words is "twelve billion, one million, four hundred twenty-five thousand, four hundred eight".