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12164253012 = 22321536121997
BaseRepresentation
bin10110101010000101…
…11100010101010100
31011101202012002010100
423111002330111110
5144403022044022
65331014054100
7610304305332
oct132502742524
934352162110
1012164253012
11518244936a
12243594a330
1311bb1b4062
14835776b52
154b2db81ac
hex2d50bc554

12164253012 has 36 divisors (see below), whose sum is σ = 30751928116. Its totient is φ = 4054302720.

The previous prime is 12164253001. The next prime is 12164253037. The reversal of 12164253012 is 21035246121.

12164253012 is a `hidden beast` number, since 1 + 2 + 1 + 642 + 5 + 3 + 0 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8642305296 + 3521947716 = 92964^2 + 59346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541998 + ... + 563994.

Almost surely, 212164253012 is an apocalyptic number.

12164253012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12164253012 is an abundant number, since it is smaller than the sum of its proper divisors (18587675104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12164253012 is a wasteful number, since it uses less digits than its factorization.

12164253012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37368 (or 37363 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12164253012 its reverse (21035246121), we get a palindrome (33199499133).

The spelling of 12164253012 in words is "twelve billion, one hundred sixty-four million, two hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 15361 21997 30722 43994 46083 61444 65991 87988 92166 131982 138249 184332 197973 263964 276498 395946 552996 791892 337895917 675791834 1013687751 1351583668 2027375502 3041063253 4054751004 6082126506 12164253012