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12230000211000 = 2335311131012391181
BaseRepresentation
bin1011000111111000010011…
…0100010111010000111000
31121022011202202001102002210
42301332010310113100320
53100334020023223000
642002215020455120
72401405543364355
oct261760464272070
947264682042083
1012230000211000
113995794313610
12145630a3aa4a0
136a9390148bb0
14303d1416162c
151631e5011350
hexb1f84d17438

12230000211000 has 1024 divisors, whose sum is σ = 45500274892800. Its totient is φ = 2696064000000.

The previous prime is 12230000210833. The next prime is 12230000211017. The reversal of 12230000211000 is 11200003221.

It is a super-2 number, since 2×122300002110002 (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10355630410 + ... + 10355631590.

It is an arithmetic number, because the mean of its divisors is an integer number (44433862200).

Almost surely, 212230000211000 is an apocalyptic number.

12230000211000 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 12230000211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750137446400).

12230000211000 is an abundant number, since it is smaller than the sum of its proper divisors (33270274681800).

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

12230000211000 is a wasteful number, since it uses less digits than its factorization.

12230000211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1555 counting only the distinct ones).

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

Adding to 12230000211000 its reverse (11200003221), we get a palindrome (12241200214221).

The spelling of 12230000211000 in words is "twelve trillion, two hundred thirty billion, two hundred eleven thousand".