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12111204000 = 253537314651
BaseRepresentation
bin10110100011110001…
…00100111010100000
31011021001100220120010
423101320210322200
5144300432012000
65321441044520
7606061351440
oct132170447240
934231326503
1012111204000
115155505905
122420026740
1311b01cbbcc
1482c6c8120
154ad3d9d50
hex2d1e24ea0

12111204000 has 384 divisors, whose sum is σ = 46817132544. Its totient is φ = 2678400000.

The previous prime is 12111203987. The next prime is 12111204019. The reversal of 12111204000 is 40211121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2601675 + ... + 2606325.

It is an arithmetic number, because the mean of its divisors is an integer number (121919616).

Almost surely, 212111204000 is an apocalyptic number.

12111204000 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 12111204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408566272).

12111204000 is an abundant number, since it is smaller than the sum of its proper divisors (34705928544).

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

12111204000 is a wasteful number, since it uses less digits than its factorization.

12111204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12111204000 its reverse (40211121), we get a palindrome (12151415121).

The spelling of 12111204000 in words is "twelve billion, one hundred eleven million, two hundred four thousand".