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12002334411432 = 23319231144387339
BaseRepresentation
bin1010111010101000001011…
…1000010000101010101000
31120111102010022200111021010
42232222002320100222220
53033121240102131212
641305444000343520
72346066015124521
oct256520270205250
946442108614233
1012002334411432
113908185969752
12141a171614ba0
13690a7a222921
142d6cb7a47848
1515c31cd3d03c
hexaea82e10aa8

12002334411432 has 64 divisors (see below), whose sum is σ = 32958355392000. Its totient is φ = 3625419086784.

The previous prime is 12002334411401. The next prime is 12002334411439. The reversal of 12002334411432 is 23411443320021.

It is a self number, because there is not a number n which added to its sum of digits gives 12002334411432.

It is not an unprimeable number, because it can be changed into a prime (12002334411439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572183182 + ... + 572204157.

It is an arithmetic number, because the mean of its divisors is an integer number (514974303000).

Almost surely, 212002334411432 is an apocalyptic number.

12002334411432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002334411432 is an abundant number, since it is smaller than the sum of its proper divisors (20956020980568).

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

12002334411432 is a wasteful number, since it uses less digits than its factorization.

12002334411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144387390 (or 1144387386 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12002334411432 its reverse (23411443320021), we get a palindrome (35413777731453).

The spelling of 12002334411432 in words is "twelve trillion, two billion, three hundred thirty-four million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 10488 1144387339 2288774678 3433162017 4577549356 6866324034 9155098712 13732648068 21743359441 26320908797 27465296136 43486718882 52641817594 65230078323 78962726391 86973437764 105283635188 130460156646 157925452782 173946875528 210567270376 260920313292 315850905564 500097267143 521840626584 631701811128 1000194534286 1500291801429 2000389068572 3000583602858 4000778137144 6001167205716 12002334411432