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12204134292 = 22374119917807
BaseRepresentation
bin10110101110110110…
…00100111110010100
31011111112020020221210
423113123010332110
5144443224244132
65335000541420
7611300300310
oct132733047624
934445206853
1012204134292
1151a2a087a9
122447181870
1311c653884c
1483ab98b40
154b6644bcc
hex2d76c4f94

12204134292 has 96 divisors (see below), whose sum is σ = 33507532800. Its totient is φ = 3384564480.

The previous prime is 12204134287. The next prime is 12204134297. The reversal of 12204134292 is 29243140221.

It is an interprime number because it is at equal distance from previous prime (12204134287) and next prime (12204134297).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204134297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676453 + ... + 694259.

It is an arithmetic number, because the mean of its divisors is an integer number (349036800).

Almost surely, 212204134292 is an apocalyptic number.

12204134292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12204134292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753766400).

12204134292 is an abundant number, since it is smaller than the sum of its proper divisors (21303398508).

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

12204134292 is a wasteful number, since it uses less digits than its factorization.

12204134292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18061 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 12204134292 in words is "twelve billion, two hundred four million, one hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 199 246 287 398 492 574 597 796 861 1148 1194 1393 1722 2388 2786 3444 4179 5572 8159 8358 16318 16716 17807 24477 32636 35614 48954 53421 57113 71228 97908 106842 114226 124649 171339 213684 228452 249298 342678 373947 498596 685356 730087 747894 1460174 1495788 2190261 2920348 3543593 4380522 5110609 7087186 8761044 10221218 10630779 14174372 15331827 20442436 21261558 24805151 30663654 42523116 49610302 61327308 74415453 99220604 145287313 148830906 290574626 297661812 435861939 581149252 871723878 1017011191 1743447756 2034022382 3051033573 4068044764 6102067146 12204134292