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12012379201 = 12728632
BaseRepresentation
bin10110010111111111…
…00101110001000001
31011000011102002102101
423023333211301001
5144100132113301
65303550550401
7603451352464
oct131377456101
934004362371
1012012379201
115104747319
1223b2b08401
1311958aa2b4
1481d5212db
154a48b8701
hex2cbfe5c41

12012379201 has 9 divisors (see below), whose sum is σ = 12121755681. Its totient is φ = 11903983812.

The previous prime is 12012379157. The next prime is 12012379213. The reversal of 12012379201 is 10297321021.

The square root of 12012379201 is 109601.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12012379201 - 221 = 12010282049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12012379201.

It is not an unprimeable number, because it can be changed into a prime (12012379261) 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 8 ways as a sum of consecutive naturals, for example, 13918896 + ... + 13919758.

Almost surely, 212012379201 is an apocalyptic number.

12012379201 is the 109601-st square number.

12012379201 is the 54801-st centered octagonal number.

It is an amenable number.

12012379201 is a deficient number, since it is larger than the sum of its proper divisors (109376480).

12012379201 is an frugal number, since it uses more digits than its factorization.

12012379201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 12012379201 in words is "twelve billion, twelve million, three hundred seventy-nine thousand, two hundred one".

Divisors: 1 127 863 16129 109601 744769 13919327 94585663 12012379201