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12018918912 = 293711137817
BaseRepresentation
bin10110011000110001…
…00010011000000000
31011000121201100012220
423030120202120000
5144103320401122
65304343051040
7603561060630
oct131430423000
934017640186
1012018918912
115108403740
1223b5140a80
131197059b50
148203446c0
154a525b25c
hex2cc622600

12018918912 has 320 divisors, whose sum is σ = 42996248064. Its totient is φ = 2881290240.

The previous prime is 12018918841. The next prime is 12018918929. The reversal of 12018918912 is 21981981021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533628 + ... + 1541444.

Almost surely, 212018918912 is an apocalyptic number.

12018918912 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 12018918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498124032).

12018918912 is an abundant number, since it is smaller than the sum of its proper divisors (30977329152).

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

12018918912 is a wasteful number, since it uses less digits than its factorization.

12018918912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 42.

It can be divided in two parts, 12018 and 918912, that added together give a triangular number (930930 = T1364).

The spelling of 12018918912 in words is "twelve billion, eighteen million, nine hundred eighteen thousand, nine hundred twelve".