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12000433401 = 3211283742727
BaseRepresentation
bin10110010110100100…
…00001010011111001
31010222022221011212100
423023102001103321
5144034102332101
65302442534013
7603245000205
oct131322012371
933868834770
1012000433401
1150a8a28260
1223aab07309
131193286b88
1481bad1b05
154a3808e86
hex2cb4814f9

12000433401 has 24 divisors (see below), whose sum is σ = 18916881984. Its totient is φ = 7270256160.

The previous prime is 12000433387. The next prime is 12000433409. The reversal of 12000433401 is 10433400021.

It is not a de Polignac number, because 12000433401 - 221 = 11998336249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12000433409) 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, 259500 + ... + 302226.

It is an arithmetic number, because the mean of its divisors is an integer number (788203416).

Almost surely, 212000433401 is an apocalyptic number.

12000433401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000433401 is a deficient number, since it is larger than the sum of its proper divisors (6916448583).

12000433401 is a wasteful number, since it uses less digits than its factorization.

12000433401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45581 (or 45578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12000433401 its reverse (10433400021), we get a palindrome (22433833422).

The spelling of 12000433401 in words is "twelve billion, four hundred thirty-three thousand, four hundred one".

Divisors: 1 3 9 11 33 99 2837 8511 25533 31207 42727 93621 128181 280863 384543 469997 1409991 4229973 121216499 363649497 1090948491 1333381489 4000144467 12000433401