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12020111121200 = 24527136710148799
BaseRepresentation
bin1010111011101010011001…
…1101000001101100110000
31120120010000012200220200012
42232322212131001230300
53033414141421334300
641321543545114052
72350265362510640
oct256724635015460
946503005626605
1012020111121200
113914778400926
1214216b2a88928
13692651102cc0
142d7ac294c520
1515ca0d7db435
hexaeea6741b30

12020111121200 has 480 divisors, whose sum is σ = 36430934937600. Its totient is φ = 3710209536000.

The previous prime is 12020111121199. The next prime is 12020111121257. The reversal of 12020111121200 is 212111102021.

12020111121200 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 (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246294401 + ... + 246343199.

It is an arithmetic number, because the mean of its divisors is an integer number (75897781120).

Almost surely, 212020111121200 is an apocalyptic number.

12020111121200 is a gapful number since it is divisible by the number (10) 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 12020111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18215467468800).

12020111121200 is an abundant number, since it is smaller than the sum of its proper divisors (24410823816400).

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

12020111121200 is a wasteful number, since it uses less digits than its factorization.

12020111121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49005 (or 48994 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12020111121200 its reverse (212111102021), we get a palindrome (12232222223221).

The spelling of 12020111121200 in words is "twelve trillion, twenty billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".