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12020133013200 = 2433521385613483
BaseRepresentation
bin1010111011101010011111…
…0000100010011011010000
31120120010001201220010212000
42232322213300202123100
53033414213022410300
641321550050234000
72350266046550004
oct256724760423320
946503051803760
1012020133013200
1139147897a3694
1214216ba285900
136926557c9650
142d7ac580a704
1515ca106b2c00
hexaeea7c226d0

12020133013200 has 240 divisors, whose sum is σ = 46073752549440. Its totient is φ = 2958801937920.

The previous prime is 12020133013199. The next prime is 12020133013237. The reversal of 12020133013200 is 231033102021.

12020133013200 is a `hidden beast` number, since 1 + 2 + 0 + 201 + 330 + 132 + 0 + 0 = 666.

12020133013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×120201330132002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42666342 + ... + 42947141.

It is an arithmetic number, because the mean of its divisors is an integer number (191973968956).

Almost surely, 212020133013200 is an apocalyptic number.

12020133013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020133013200 is an abundant number, since it is smaller than the sum of its proper divisors (34053619536240).

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

12020133013200 is a wasteful number, since it uses less digits than its factorization.

12020133013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85613523 (or 85613506 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12020133013200 its reverse (231033102021), we get a palindrome (12251166115221).

The spelling of 12020133013200 in words is "twelve trillion, twenty billion, one hundred thirty-three million, thirteen thousand, two hundred".