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12412897488 = 243431509607
BaseRepresentation
bin10111000111101110…
…11100100011010000
31012001002001112020000
423203313130203100
5200410200204423
65411415250000
7616413613335
oct134367344320
935032045200
1012412897488
11529a836672
1224a5079900
13122a870774
1485a7bc98c
154c9b30843
hex2e3ddc8d0

12412897488 has 200 divisors, whose sum is σ = 37219522560. Its totient is φ = 3989710080.

The previous prime is 12412897481. The next prime is 12412897493. The reversal of 12412897488 is 88479821421.

12412897488 is a `hidden beast` number, since 1 + 2 + 412 + 89 + 74 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2064384) is a multiple of the sum of its prime divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412897481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20449281 + ... + 20449887.

Almost surely, 212412897488 is an apocalyptic number.

12412897488 is a gapful number since it is divisible by the number (18) 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 12412897488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609761280).

12412897488 is an abundant number, since it is smaller than the sum of its proper divisors (24806625072).

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

12412897488 is a wasteful number, since it uses less digits than its factorization.

12412897488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1152 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 12412897488 in words is "twelve billion, four hundred twelve million, eight hundred ninety-seven thousand, four hundred eighty-eight".