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12420452304 = 24331319432707
BaseRepresentation
bin10111001000101000…
…10000111111010000
31012001121021100111000
423210110100333100
5200414113433204
65412245222000
7616535050131
oct134424207720
935047240430
1012420452304
1152a4026717
1224a7701900
13122c2b7380
1485b7c7c88
154ca624039
hex2e4510fd0

12420452304 has 320 divisors, whose sum is σ = 41369574400. Its totient is φ = 3535031808.

The previous prime is 12420452279. The next prime is 12420452329. The reversal of 12420452304 is 40325402421.

12420452304 is a `hidden beast` number, since 1 + 2 + 420 + 4 + 5 + 230 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12420452279) and next prime (12420452329).

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

It is a congruent number.

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, 4586919 + ... + 4589625.

It is an arithmetic number, because the mean of its divisors is an integer number (129279920).

Almost surely, 212420452304 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 12420452304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684787200).

12420452304 is an abundant number, since it is smaller than the sum of its proper divisors (28949122096).

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

12420452304 is a wasteful number, since it uses less digits than its factorization.

12420452304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12420452304 its reverse (40325402421), we get a palindrome (52745854725).

The spelling of 12420452304 in words is "twelve billion, four hundred twenty million, four hundred fifty-two thousand, three hundred four".