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12906426000 = 2435313337491
BaseRepresentation
bin11000000010100100…
…00110111010010000
31020022110201101001210
430001102012322100
5202413021113000
65532405300120
7634555545066
oct140122067220
936273641053
1012906426000
115523382976
122602404640
1312a8b9b080
148a616c036
1550811b350
hex301486e90

12906426000 has 320 divisors, whose sum is σ = 45035617536. Its totient is φ = 3161088000.

The previous prime is 12906425989. The next prime is 12906426007. The reversal of 12906426000 is 62460921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12906426007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26285755 + ... + 26286245.

Almost surely, 212906426000 is an apocalyptic number.

12906426000 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 12906426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22517808768).

12906426000 is an abundant number, since it is smaller than the sum of its proper divisors (32129191536).

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

12906426000 is a wasteful number, since it uses less digits than its factorization.

12906426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 12906426000 its reverse (62460921), we get a palindrome (12968886921).

The spelling of 12906426000 in words is "twelve billion, nine hundred six million, four hundred twenty-six thousand".