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12406140972 = 22321918137633
BaseRepresentation
bin10111000110111011…
…01011000000101100
31012000121100021000200
423203131223000230
5200401433002342
65411014353500
7616302313131
oct134335530054
935017307020
1012406140972
115296a41375
1224a295b890
131229346324
14859940588
154c924894c
hex2e376b02c

12406140972 has 36 divisors (see below), whose sum is σ = 33010493880. Its totient is φ = 3917728512.

The previous prime is 12406140941. The next prime is 12406140973. The reversal of 12406140972 is 27904160421.

It is a happy number.

12406140972 is a `hidden beast` number, since 1 + 240 + 6 + 1 + 409 + 7 + 2 = 666.

12406140972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12406140973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9068133 + ... + 9069500.

Almost surely, 212406140972 is an apocalyptic number.

12406140972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12406140972 is an abundant number, since it is smaller than the sum of its proper divisors (20604352908).

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

12406140972 is a wasteful number, since it uses less digits than its factorization.

12406140972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18137662 (or 18137657 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12406140972 in words is "twelve billion, four hundred six million, one hundred forty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 18137633 36275266 54412899 72550532 108825798 163238697 217651596 326477394 344615027 652954788 689230054 1033845081 1378460108 2067690162 3101535243 4135380324 6203070486 12406140972