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12421939783680 = 2113657892671
BaseRepresentation
bin1011010011000011010101…
…0011101110100000000000
31121222112012100012222000000
42310300311103232200000
53112010113041034210
642230321012000000
72421312151004310
oct264606523564000
947875170188000
1012421939783680
113a5a12a194429
121487556600000
136c14cb55863b
1430d321929440
151681caa00ac0
hexb4c354ee800

12421939783680 has 1344 divisors, whose sum is σ = 51664742438400. Its totient is φ = 2806347202560.

The previous prime is 12421939783633. The next prime is 12421939783691. The reversal of 12421939783680 is 8638793912421.

12421939783680 is a `hidden beast` number, since 1 + 2 + 421 + 9 + 39 + 78 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4650668745 + ... + 4650671415.

It is an arithmetic number, because the mean of its divisors is an integer number (38441028600).

Almost surely, 212421939783680 is an apocalyptic number.

12421939783680 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 12421939783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25832371219200).

12421939783680 is an abundant number, since it is smaller than the sum of its proper divisors (39242802654720).

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

12421939783680 is an frugal number, since it uses more digits than its factorization.

12421939783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 12421939783680 in words is "twelve trillion, four hundred twenty-one billion, nine hundred thirty-nine million, seven hundred eighty-three thousand, six hundred eighty".