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12297870676224 = 283476712
BaseRepresentation
bin1011001011110101001000…
…1101101001000100000000
31121112122221202022021110000
42302331102031221010000
53102442014343114344
642053321440240000
72406330462000000
oct262752215510400
947478852267400
1012297870676224
113a11552434691
1214674b0010000
136b28b83343a3
14307312000000
15164d686c3a69
hexb2f52369100

12297870676224 has 945 divisors, whose sum is σ = 43392689180071. Its totient is φ = 3464188922880.

The previous prime is 12297870676211. The next prime is 12297870676229. The reversal of 12297870676224 is 42267607879221.

It is a happy number.

The square root of 12297870676224 is 3506832.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12297870676229) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 173209446109 + ... + 173209446179.

Almost surely, 212297870676224 is an apocalyptic number.

12297870676224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12297870676224 is the 3506832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12297870676224

12297870676224 is an abundant number, since it is smaller than the sum of its proper divisors (31094818503847).

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

12297870676224 is an frugal number, since it uses more digits than its factorization.

12297870676224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 12297870676224 in words is "twelve trillion, two hundred ninety-seven billion, eight hundred seventy million, six hundred seventy-six thousand, two hundred twenty-four".