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12033443120430 = 2353147433635801
BaseRepresentation
bin1010111100011100000100…
…0110100100010100101110
31120121101102100012122110110
42233013001012210110232
53034123442414323210
641332030520120450
72351246636601234
oct257070106442456
946541370178413
1012033443120430
11391a399a26206
1214241b3906126
136939971c7744
142d85c941a954
1515d03de6d420
hexaf1c11a452e

12033443120430 has 128 divisors (see below), whose sum is σ = 30516542816256. Its totient is φ = 3032308224000.

The previous prime is 12033443120393. The next prime is 12033443120443. The reversal of 12033443120430 is 3402134433021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18608530 + ... + 19244330.

It is an arithmetic number, because the mean of its divisors is an integer number (238410490752).

Almost surely, 212033443120430 is an apocalyptic number.

12033443120430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033443120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258271408128).

12033443120430 is an abundant number, since it is smaller than the sum of its proper divisors (18483099695826).

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

12033443120430 is a wasteful number, since it uses less digits than its factorization.

12033443120430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636322.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 12033443120430 its reverse (3402134433021), we get a palindrome (15435577553451).

The spelling of 12033443120430 in words is "twelve trillion, thirty-three billion, four hundred forty-three million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 47 62 93 94 141 155 186 235 282 310 433 465 470 705 866 930 1299 1410 1457 2165 2598 2914 4330 4371 6495 7285 8742 12990 13423 14570 20351 21855 26846 40269 40702 43710 61053 67115 80538 101755 122106 134230 201345 203510 305265 402690 610530 630881 635801 1261762 1271602 1892643 1907403 3154405 3179005 3785286 3814806 6308810 6358010 9463215 9537015 18926430 19074030 19709831 29882647 39419662 59129493 59765294 89647941 98549155 118258986 149413235 179295882 197098310 275301833 295647465 298826470 448239705 550603666 591294930 825905499 896479410 926362057 1376509165 1651810998 1852724114 2753018330 2779086171 4129527495 4631810285 5558172342 8259054990 8534356823 9263620570 12939186151 13895430855 17068713646 25603070469 25878372302 27790861710 38817558453 42671784115 51206140938 64695930755 77635116906 85343568230 128015352345 129391861510 194087792265 256030704690 388175584530 401114770681 802229541362 1203344312043 2005573853405 2406688624086 4011147706810 6016721560215 12033443120430