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12077790201 = 34122112
BaseRepresentation
bin10110011111110010…
…00111001111111001
31011011201111022110000
423033321013033321
5144213403241301
65314244543213
7605204344221
oct131771071771
934151438400
1012077790201
1151386635a4
1224109b1b09
1311a6300129
148280ab081
154aa4d9786
hex2cfe473f9

12077790201 has 15 divisors (see below), whose sum is σ = 18043608693. Its totient is φ = 8051200740.

The previous prime is 12077790139. The next prime is 12077790217. The reversal of 12077790201 is 10209777021.

The square root of 12077790201 is 109899.

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

It is not a de Polignac number, because 12077790201 - 231 = 9930306553 is a prime.

It is a super-2 number, since 2×120777902012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12077790271) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 982986 + ... + 995196.

Almost surely, 212077790201 is an apocalyptic number.

12077790201 is the 109899-th square number.

12077790201 is the 54950-th centered octagonal number.

It is an amenable number.

12077790201 is a deficient number, since it is larger than the sum of its proper divisors (5965818492).

12077790201 is an frugal number, since it uses more digits than its factorization.

12077790201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24434 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

Multiplying 12077790201 by its sum of digits (36), we get a square (434800447236 = 6593942).

The spelling of 12077790201 in words is "twelve billion, seventy-seven million, seven hundred ninety thousand, two hundred one".

Divisors: 1 3 9 27 81 12211 36633 109899 329697 989091 149108521 447325563 1341976689 4025930067 12077790201