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12033102141200 = 2452731138630209
BaseRepresentation
bin1010111100011010110011…
…0001110101011100010000
31120121100112120121002220002
42233012230301311130100
53034122243122004300
641331533015505132
72351235326404550
oct257065461653420
946540476532802
1012033102141200
11391a234502498
1214241196881a8
1369394167c49a
142d859601b160
1515d01e0675d5
hexaf1acc75710

12033102141200 has 120 divisors (see below), whose sum is σ = 34105249743360. Its totient is φ = 3992549990400.

The previous prime is 12033102141163. The next prime is 12033102141271. The reversal of 12033102141200 is 214120133021.

12033102141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69228305 + ... + 69401904.

It is an arithmetic number, because the mean of its divisors is an integer number (284210414528).

Almost surely, 212033102141200 is an apocalyptic number.

12033102141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033102141200 is an abundant number, since it is smaller than the sum of its proper divisors (22072147602160).

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

12033102141200 is a wasteful number, since it uses less digits than its factorization.

12033102141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138630265 (or 138630254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12033102141200 its reverse (214120133021), we get a palindrome (12247222274221).

The spelling of 12033102141200 in words is "twelve trillion, thirty-three billion, one hundred two million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 5425 6200 8680 10850 12400 17360 21700 43400 86800 138630209 277260418 554520836 693151045 970411463 1109041672 1386302090 1940822926 2218083344 2772604180 3465755225 3881645852 4297536479 4852057315 5545208360 6931510450 7763291704 8595072958 9704114630 11090416720 13863020900 15526583408 17190145916 19408229260 21487682395 24260286575 27726041800 30082755353 34380291832 38816458520 42975364790 48520573150 55452083600 60165510706 68760583664 77632917040 85950729580 97041146300 107438411975 120331021412 150413776765 171901459160 194082292600 214876823950 240662042824 300827553530 343802918320 388164585200 429753647900 481324085648 601655107060 752068883825 859507295800 1203310214120 1504137767650 1719014591600 2406620428240 3008275535300 6016551070600 12033102141200