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12395300940 = 223351119109829
BaseRepresentation
bin10111000101101000…
…10100100001001100
31011222211221112022000
423202310110201030
5200341144112230
65405550152300
7616111214421
oct134264244114
934884845260
1012395300940
115290908070
12249b1b2690
13122701c2c9
1485831bd48
154c8306b60
hex2e2d1484c

12395300940 has 192 divisors, whose sum is σ = 44283456000. Its totient is φ = 2846741760.

The previous prime is 12395300923. The next prime is 12395300941. The reversal of 12395300940 is 4900359321.

It is a happy number.

12395300940 is a `hidden beast` number, since 1 + 2 + 39 + 530 + 0 + 94 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12395300895 and 12395300904.

It is not an unprimeable number, because it can be changed into a prime (12395300941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57946 + ... + 167774.

It is an arithmetic number, because the mean of its divisors is an integer number (230643000).

Almost surely, 212395300940 is an apocalyptic number.

12395300940 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 12395300940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141728000).

12395300940 is an abundant number, since it is smaller than the sum of its proper divisors (31888155060).

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

12395300940 is a wasteful number, since it uses less digits than its factorization.

12395300940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109877 (or 109869 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 12395300940 in words is "twelve billion, three hundred ninety-five million, three hundred thousand, nine hundred forty".