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12110131514000 = 24531317913031997
BaseRepresentation
bin1011000000111001110000…
…0101100100101010010000
31120212201100212221200110102
42300032130011210222100
53041403022131422000
641431152334351532
72356633230310502
oct260163405445220
946781325850412
1012110131514000
113949972590373
12143703665b5a8
1369ac99215410
142dc1c2437d72
1516002b8453d5
hexb039c164a90

12110131514000 has 320 divisors, whose sum is σ = 31751182794240. Its totient is φ = 4440815769600.

The previous prime is 12110131513891. The next prime is 12110131514003. The reversal of 12110131514000 is 41513101121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12110131514003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6064161002 + ... + 6064162998.

It is an arithmetic number, because the mean of its divisors is an integer number (99222446232).

Almost surely, 212110131514000 is an apocalyptic number.

12110131514000 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 12110131514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15875591397120).

12110131514000 is an abundant number, since it is smaller than the sum of its proper divisors (19641051280240).

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

12110131514000 is a wasteful number, since it uses less digits than its factorization.

12110131514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 12110131514000 its reverse (41513101121), we get a palindrome (12151644615121).

The spelling of 12110131514000 in words is "twelve trillion, one hundred ten billion, one hundred thirty-one million, five hundred fourteen thousand".