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12030350112 = 25321143471879
BaseRepresentation
bin10110011010001000…
…01001001100100000
31011001102020002212200
423031010021030200
5144114232200422
65305432053200
7604060201014
oct131504111440
934042202780
1012030350112
115113901110
1223b8b34200
13119952cc81
14821a7c544
154a62682ac
hex2cd109320

12030350112 has 288 divisors, whose sum is σ = 39022663680. Its totient is φ = 3483164160.

The previous prime is 12030350083. The next prime is 12030350113. The reversal of 12030350112 is 21105303021.

12030350112 is a `hidden beast` number, since 1 + 203 + 0 + 350 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×120303501123 (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12030350113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6401589 + ... + 6403467.

It is an arithmetic number, because the mean of its divisors is an integer number (135495360).

Almost surely, 212030350112 is an apocalyptic number.

12030350112 is a gapful number since it is divisible by the number (12) 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 12030350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511331840).

12030350112 is an abundant number, since it is smaller than the sum of its proper divisors (26992313568).

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

12030350112 is a wasteful number, since it uses less digits than its factorization.

12030350112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 12030350112 its reverse (21105303021), we get a palindrome (33135653133).

The spelling of 12030350112 in words is "twelve billion, thirty million, three hundred fifty thousand, one hundred twelve".