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12320894778120 = 233251719699102199
BaseRepresentation
bin1011001101001010111010…
…0011100111101100001000
31121121212101100012211121200
42303102232203213230020
53103331143030344440
642112050234504200
72411104154431335
oct263225643475410
947555340184550
1012320894778120
113a20297996175
12146ba56895060
136b4b173b1a16
14308497ba398c
15165764b94c30
hexb34ae8e7b08

12320894778120 has 192 divisors, whose sum is σ = 42400940400000. Its totient is φ = 3092115769344.

The previous prime is 12320894778079. The next prime is 12320894778121. The reversal of 12320894778120 is 2187749802321.

12320894778120 is a `hidden beast` number, since 1 + 23 + 20 + 8 + 9 + 477 + 8 + 120 = 666.

12320894778120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12320894778121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120506781 + ... + 120608979.

It is an arithmetic number, because the mean of its divisors is an integer number (220838231250).

Almost surely, 212320894778120 is an apocalyptic number.

12320894778120 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 12320894778120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200470200000).

12320894778120 is an abundant number, since it is smaller than the sum of its proper divisors (30080045621880).

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

12320894778120 is a wasteful number, since it uses less digits than its factorization.

12320894778120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121932 (or 121925 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12320894778120 in words is "twelve trillion, three hundred twenty billion, eight hundred ninety-four million, seven hundred seventy-eight thousand, one hundred twenty".