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12145042234332 = 2232748194612041
BaseRepresentation
bin1011000010111011110011…
…1011011001101111011100
31121000001110212122000201100
42300232330323121233130
53042441021302444312
641455204432313100
72362310316451320
oct260567473315734
947001425560640
1012145042234332
1139627577a2257
12144195a0a2790
136a1370aa9c97
142ddb74b43980
15160dc163c5dc
hexb0bbced9bdc

12145042234332 has 36 divisors (see below), whose sum is σ = 35085677566576. Its totient is φ = 3470012066880.

The previous prime is 12145042234331. The next prime is 12145042234349. The reversal of 12145042234332 is 23343224054121.

12145042234332 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 50 + 42 + 234 + 332 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145042234331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24097305769 + ... + 24097306272.

Almost surely, 212145042234332 is an apocalyptic number.

12145042234332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12145042234332 is an abundant number, since it is smaller than the sum of its proper divisors (22940635332244).

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

12145042234332 is a wasteful number, since it uses less digits than its factorization.

12145042234332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48194612058 (or 48194612053 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12145042234332 its reverse (23343224054121), we get a palindrome (35488266288453).

The spelling of 12145042234332 in words is "twelve trillion, one hundred forty-five billion, forty-two million, two hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48194612041 96389224082 144583836123 192778448164 289167672246 337362284287 433751508369 578335344492 674724568574 867503016738 1012086852861 1349449137148 1735006033476 2024173705722 3036260558583 4048347411444 6072521117166 12145042234332