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12148111404 = 22391113283
BaseRepresentation
bin10110101000001010…
…10111100000101100
31011100121211000000000
423110011113200230
5144334404031104
65325240104300
7610020146262
oct132405274054
934317730000
1012148111404
1151743239a0
122430465090
1311b7a51c00
14833574432
154b177a639
hex2d415782c

12148111404 has 360 divisors, whose sum is σ = 38122805952. Its totient is φ = 3357132480.

The previous prime is 12148111403. The next prime is 12148111421. The reversal of 12148111404 is 40411184121.

12148111404 is a `hidden beast` number, since 1 + 2 + 148 + 111 + 404 = 666.

It is a super-2 number, since 2×121481114042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12148111403) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 146362747 + ... + 146362829.

Almost surely, 212148111404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12148111404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061402976).

12148111404 is an abundant number, since it is smaller than the sum of its proper divisors (25974694548).

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

12148111404 is an equidigital number, since it uses as much as digits as its factorization.

12148111404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 12148111404 its reverse (40411184121), we get a palindrome (52559295525).

The spelling of 12148111404 in words is "twelve billion, one hundred forty-eight million, one hundred eleven thousand, four hundred four".