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12940755201 = 32111923832887
BaseRepresentation
bin11000000110101010…
…00100000100000001
31020101212022110212200
430003111010010001
5203000313131301
65540033143413
7635453414163
oct140325040401
936355273780
1012940755201
11554079aa10
1226119bab69
1312b302a6ca
148aa946933
1550b14cc86
hex303544101

12940755201 has 48 divisors (see below), whose sum is σ = 21481175040. Its totient is φ = 7424408160.

The previous prime is 12940755197. The next prime is 12940755203. The reversal of 12940755201 is 10255704921.

12940755201 is a `hidden beast` number, since 1 + 29 + 40 + 75 + 520 + 1 = 666.

It is not a de Polignac number, because 12940755201 - 22 = 12940755197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12940755203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4480980 + ... + 4483866.

It is an arithmetic number, because the mean of its divisors is an integer number (447524480).

Almost surely, 212940755201 is an apocalyptic number.

12940755201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12940755201 is a deficient number, since it is larger than the sum of its proper divisors (8540419839).

12940755201 is a wasteful number, since it uses less digits than its factorization.

12940755201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12940755201 in words is "twelve billion, nine hundred forty million, seven hundred fifty-five thousand, two hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 2383 2887 7149 8661 21447 25983 26213 31757 45277 54853 78639 95271 135831 164559 235917 285813 407493 493677 498047 603383 1494141 1810149 4482423 5430447 6879721 20639163 61917489 75676931 130714699 227030793 392144097 681092379 1176432291 1437861689 4313585067 12940755201