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11112012000 = 253353313319
BaseRepresentation
bin10100101100101001…
…11101100011100000
31001200102012200211000
422112110331203200
5140224133341000
65034344552000
7542236354305
oct122624754340
931612180730
1011112012000
1147924940a1
1221a1482600
1310811b573b
14775b0b0ac
15450818000
hex29653d8e0

11112012000 has 384 divisors, whose sum is σ = 41765068800. Its totient is φ = 2866752000.

The previous prime is 11112011917. The next prime is 11112012017. The reversal of 11112012000 is 21021111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3346341 + ... + 3349659.

It is an arithmetic number, because the mean of its divisors is an integer number (108763200).

Almost surely, 211112012000 is an apocalyptic number.

11112012000 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 11112012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20882534400).

11112012000 is an abundant number, since it is smaller than the sum of its proper divisors (30653056800).

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

11112012000 is a wasteful number, since it uses less digits than its factorization.

11112012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11112012000 its reverse (21021111), we get a palindrome (11133033111).

The spelling of 11112012000 in words is "eleven billion, one hundred twelve million, twelve thousand".