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12011020230000 = 2435411222914449
BaseRepresentation
bin1010111011001000100010…
…0110000001110101110000
31120112020112122120210101010
42232302020212001311300
53033242032134330000
641313441515510520
72346524164302651
oct256621046016560
946466478523333
1012011020230000
11391093287a800
12141b996458440
1369183287b23c
142d749d437528
1515c67a658d50
hexaec88981d70

12011020230000 has 600 divisors, whose sum is σ = 42807517522000. Its totient is φ = 2898846720000.

The previous prime is 12011020229939. The next prime is 12011020230029. The reversal of 12011020230000 is 3202011021.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 831262776 + ... + 831277224.

Almost surely, 212011020230000 is an apocalyptic number.

12011020230000 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 12011020230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403758761000).

12011020230000 is an abundant number, since it is smaller than the sum of its proper divisors (30796497292000).

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

12011020230000 is a wasteful number, since it uses less digits than its factorization.

12011020230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731 (or 14699 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12011020230000 its reverse (3202011021), we get a palindrome (12014222241021).

The spelling of 12011020230000 in words is "twelve trillion, eleven billion, twenty million, two hundred thirty thousand".