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12024119170404 = 2234118234099357
BaseRepresentation
bin1010111011111001010101…
…0110100001010101100100
31120120111100112112220120000
42232332111112201111210
53034000344001423104
641323445403341300
72350466611410405
oct256762526412544
946514315486500
1012024119170404
113916444892590
121422431221830
13692b3c5b2353
142d7d82d999ac
1515cb95601639
hexaef955a1564

12024119170404 has 120 divisors (see below), whose sum is σ = 34332680762688. Its totient is φ = 3639244282560.

The previous prime is 12024119170403. The next prime is 12024119170463. The reversal of 12024119170404 is 40407191142021.

It is a happy number.

12024119170404 is a `hidden beast` number, since 1 + 2 + 0 + 241 + 1 + 9 + 1 + 7 + 0 + 404 = 666.

It is a super-4 number, since 4×120241191704044 (a number of 53 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12024119170403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883494 + ... + 4982850.

Almost surely, 212024119170404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12024119170404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17166340381344).

12024119170404 is an abundant number, since it is smaller than the sum of its proper divisors (22308561592284).

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

12024119170404 is a wasteful number, since it uses less digits than its factorization.

12024119170404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100207 (or 4100196 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12024119170404 in words is "twelve trillion, twenty-four billion, one hundred nineteen million, one hundred seventy thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 823 891 1188 1646 1782 2469 3292 3564 4938 7407 9053 9876 14814 18106 22221 27159 29628 36212 44442 54318 66663 81477 88884 108636 133326 162954 244431 266652 325908 488862 733293 977724 1466586 2933172 4099357 8198714 12298071 16397428 24596142 36894213 45092927 49192284 73788426 90185854 110682639 135278781 147576852 180371708 221365278 270557562 332047917 405836343 442730556 541115124 664095834 811672686 1217509029 1328191668 1623345372 2435018058 3373770811 3652527087 4870036116 6747541622 7305054174 10121312433 13495083244 14610108348 20242624866 30363937299 37111478921 40485249732 60727874598 74222957842 91091811897 111334436763 121455749196 148445915684 182183623794 222668873526 273275435691 334003310289 364367247588 445337747052 546550871382 668006620578 1002009930867 1093101742764 1336013241156 2004019861734 3006029792601 4008039723468 6012059585202 12024119170404