Search a number
-
+
12221952561 = 3271314923019
BaseRepresentation
bin10110110000111110…
…00011001000110001
31011112202202112000200
423120133003020301
5200012304440221
65340434505413
7611604611520
oct133037031061
934482675020
1012221952561
115201a78945
122451135269
1311ca136bc0
1483d2b64b7
154b7eb4426
hex2d87c3231

12221952561 has 24 divisors (see below), whose sum is σ = 21727917120. Its totient is φ = 6446743776.

The previous prime is 12221952551. The next prime is 12221952563. The reversal of 12221952561 is 16525912221.

12221952561 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 95 + 2 + 561 = 666.

It is not a de Polignac number, because 12221952561 - 25 = 12221952529 is a prime.

It is a super-2 number, since 2×122219525612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221952563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7460691 + ... + 7462328.

It is an arithmetic number, because the mean of its divisors is an integer number (905329880).

Almost surely, 212221952561 is an apocalyptic number.

It is an amenable number.

12221952561 is a deficient number, since it is larger than the sum of its proper divisors (9505964559).

12221952561 is a wasteful number, since it uses less digits than its factorization.

12221952561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14923045 (or 14923042 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 12221952561 in words is "twelve billion, two hundred twenty-one million, nine hundred fifty-two thousand, five hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 14923019 44769057 104461133 134307171 193999247 313383399 581997741 940150197 1357994729 1745993223 4073984187 12221952561