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12003181343400 = 23352135879261757
BaseRepresentation
bin1010111010101011010101…
…0111000011001010101000
31120111111022100100002111210
42232222311113003022220
53033130003410442100
641310104013153120
72346126011000112
oct256526527031250
946444270302453
1012003181343400
11390857aa45225
12141a36918b7a0
13690b838285c0
142d6d5830c3b2
1515c36c385c50
hexaeab55c32a8

12003181343400 has 192 divisors, whose sum is σ = 40079128521600. Its totient is φ = 2954115394560.

The previous prime is 12003181343393. The next prime is 12003181343429. The reversal of 12003181343400 is 434318130021.

It is a happy number.

12003181343400 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 (30).

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, 45725322 + ... + 45987078.

It is an arithmetic number, because the mean of its divisors is an integer number (208745461050).

Almost surely, 212003181343400 is an apocalyptic number.

12003181343400 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 12003181343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039564260800).

12003181343400 is an abundant number, since it is smaller than the sum of its proper divisors (28075947178200).

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

12003181343400 is a wasteful number, since it uses less digits than its factorization.

12003181343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267668 (or 267659 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12003181343400 its reverse (434318130021), we get a palindrome (12437499473421).

The spelling of 12003181343400 in words is "twelve trillion, three billion, one hundred eighty-one million, three hundred forty-three thousand, four hundred".