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12061374000 = 2435313239647
BaseRepresentation
bin10110011101110100…
…11111011000110000
31011010120121021122120
423032322133120300
5144200202432000
65312501034240
7604614662454
oct131672373060
934116537576
1012061374000
11512a370895
1224073b5980
1311a2aa2cc0
14825c36664
154a8d456a0
hex2cee9f630

12061374000 has 320 divisors, whose sum is σ = 42117304320. Its totient is φ = 2951961600.

The previous prime is 12061373993. The next prime is 12061374019. The reversal of 12061374000 is 47316021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18641677 + ... + 18642323.

It is an arithmetic number, because the mean of its divisors is an integer number (131616576).

Almost surely, 212061374000 is an apocalyptic number.

12061374000 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 12061374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058652160).

12061374000 is an abundant number, since it is smaller than the sum of its proper divisors (30055930320).

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

12061374000 is a wasteful number, since it uses less digits than its factorization.

12061374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 12061374000 in words is "twelve billion, sixty-one million, three hundred seventy-four thousand".