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12232013112000 = 2632531136742083
BaseRepresentation
bin1011000111111111110011…
…0010111110001011000000
31121022100222000200101011200
42301333330302332023000
53100402130324041000
642003150444141200
72401506454640403
oct261777462761300
947270860611150
1012232013112000
113996627571960
121456790537800
136a962118c386
14304065617d3a
151632b1ac1500
hexb1ffccbe2c0

12232013112000 has 672 divisors, whose sum is σ = 47864965284864. Its totient is φ = 2957186304000.

The previous prime is 12232013111939. The next prime is 12232013112019. The reversal of 12232013112000 is 21131023221.

12232013112000 is a `hidden beast` number, since 12 + 2 + 320 + 1 + 311 + 20 + 0 + 0 = 666.

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

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, 290642959 + ... + 290685041.

It is an arithmetic number, because the mean of its divisors is an integer number (71227626912).

Almost surely, 212232013112000 is an apocalyptic number.

12232013112000 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 12232013112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23932482642432).

12232013112000 is an abundant number, since it is smaller than the sum of its proper divisors (35632952172864).

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

12232013112000 is a wasteful number, since it uses less digits than its factorization.

12232013112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42494 (or 42471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12232013112000 its reverse (21131023221), we get a palindrome (12253144135221).

The spelling of 12232013112000 in words is "twelve trillion, two hundred thirty-two billion, thirteen million, one hundred twelve thousand".