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12190047480 = 23335131994363
BaseRepresentation
bin10110101101001010…
…10101110011111000
31011110112201120111000
423112211111303320
5144431123004410
65333335005000
7611036460012
oct132645256370
934415646430
1012190047480
115195a67106
122442509760
1311c3645a60
14838d6d1b2
154b52b0dc0
hex2d6955cf8

12190047480 has 256 divisors, whose sum is σ = 43989120000. Its totient is φ = 2984864256.

The previous prime is 12190047479. The next prime is 12190047481. The reversal of 12190047480 is 8474009121.

12190047480 is a `hidden beast` number, since 1 + 21 + 90 + 0 + 474 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12190047479) and next prime (12190047481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12190047481) by changing a digit.

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, 2791779 + ... + 2796141.

It is an arithmetic number, because the mean of its divisors is an integer number (171832500).

Almost surely, 212190047480 is an apocalyptic number.

12190047480 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 12190047480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21994560000).

12190047480 is an abundant number, since it is smaller than the sum of its proper divisors (31799072520).

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

12190047480 is a wasteful number, since it uses less digits than its factorization.

12190047480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12190047480 in words is "twelve billion, one hundred ninety million, forty-seven thousand, four hundred eighty".