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12754490112 = 2832713127479
BaseRepresentation
bin10111110000011101…
…00001001100000000
31012220212211020012200
423320032201030000
5202110122140422
65505340553200
7631032243240
oct137016411400
935825736180
1012754490112
115455639221
12257b552800
131283571c90
1488dcdbb20
154e9b082ac
hex2f83a1300

12754490112 has 432 divisors, whose sum is σ = 45712343040. Its totient is φ = 3330367488.

The previous prime is 12754490101. The next prime is 12754490123. The reversal of 12754490112 is 21109445721.

12754490112 is a `hidden beast` number, since 1 + 2 + 7 + 54 + 490 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (12754490101) and next prime (12754490123).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26627089 + ... + 26627567.

Almost surely, 212754490112 is an apocalyptic number.

12754490112 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 12754490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22856171520).

12754490112 is an abundant number, since it is smaller than the sum of its proper divisors (32957852928).

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

12754490112 is a wasteful number, since it uses less digits than its factorization.

12754490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12754490112 in words is "twelve billion, seven hundred fifty-four million, four hundred ninety thousand, one hundred twelve".