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12200033974272 = 21135413670393
BaseRepresentation
bin1011000110001000101010…
…1100001111100000000000
31121012022102100021212020020
42301202022230033200000
53044341132144134042
641540341312213440
72366265133516614
oct261421254174000
947168370255206
1012200033974272
113984007140411
12145054683a280
136a65c5a75981
143026b03c5344
1516253e3563ec
hexb188ab0f800

12200033974272 has 96 divisors (see below), whose sum is σ = 32585611116240. Its totient is φ = 4059159920640.

The previous prime is 12200033974243. The next prime is 12200033974357. The reversal of 12200033974272 is 27247933000221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1488708 + ... + 5159100.

Almost surely, 212200033974272 is an apocalyptic number.

12200033974272 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 12200033974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292805558120).

12200033974272 is an abundant number, since it is smaller than the sum of its proper divisors (20385577141968).

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

12200033974272 is an equidigital number, since it uses as much as digits as its factorization.

12200033974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670959 (or 3670939 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

Adding to 12200033974272 its reverse (27247933000221), we get a palindrome (39447966974493).

The spelling of 12200033974272 in words is "twelve trillion, two hundred billion, thirty-three million, nine hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 541 768 1024 1082 1536 1623 2048 2164 3072 3246 4328 6144 6492 8656 12984 17312 25968 34624 51936 69248 103872 138496 207744 276992 415488 553984 830976 1107968 1661952 3323904 3670393 7340786 11011179 14681572 22022358 29363144 44044716 58726288 88089432 117452576 176178864 234905152 352357728 469810304 704715456 939620608 1409430912 1879241216 1985682613 2818861824 3758482432 3971365226 5637723648 5957047839 7516964864 7942730452 11275447296 11914095678 15885460904 22550894592 23828191356 31770921808 47656382712 63541843616 95312765424 127083687232 190625530848 254167374464 381251061696 508334748928 762502123392 1016669497856 1525004246784 2033338995712 3050008493568 4066677991424 6100016987136 12200033974272