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12002122413 = 324132526077
BaseRepresentation
bin10110010110110000…
…11101101010101101
31010222110002222202100
423023120131222231
5144040020404123
65302543045313
7603265233351
oct131330355255
933873088670
1012002122413
1150a9981236
1223ab5a0839
1311937288a8
1481c011461
154a3a3e643
hex2cb61daad

12002122413 has 12 divisors (see below), whose sum is σ = 17759238588. Its totient is φ = 7806258240.

The previous prime is 12002122411. The next prime is 12002122423. The reversal of 12002122413 is 31422120021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1372924809 + 10629197604 = 37053^2 + 103098^2 .

It is not a de Polignac number, because 12002122413 - 21 = 12002122411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002122411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16262670 + ... + 16263407.

It is an arithmetic number, because the mean of its divisors is an integer number (1479936549).

Almost surely, 212002122413 is an apocalyptic number.

It is an amenable number.

12002122413 is a deficient number, since it is larger than the sum of its proper divisors (5757116175).

12002122413 is a wasteful number, since it uses less digits than its factorization.

12002122413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32526124 (or 32526121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12002122413 its reverse (31422120021), we get a palindrome (43424242434).

The spelling of 12002122413 in words is "twelve billion, two million, one hundred twenty-two thousand, four hundred thirteen".

Divisors: 1 3 9 41 123 369 32526077 97578231 292734693 1333569157 4000707471 12002122413