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12162422448 = 2432113233189
BaseRepresentation
bin10110101001110111…
…11101011010110000
31011101121202002001200
423110323331122300
5144402040004243
65330510531200
7610252612401
oct132473753260
934347662050
1012162422448
115181409000
122435206b00
1311ba9c2a97
1483541b9a8
154b2b55ad3
hex2d4efd6b0

12162422448 has 480 divisors, whose sum is σ = 40780247040. Its totient is φ = 3373286400.

The previous prime is 12162422411. The next prime is 12162422473. The reversal of 12162422448 is 84422426121.

12162422448 is a `hidden beast` number, since 1 + 2 + 1 + 624 + 2 + 24 + 4 + 8 = 666.

It is a super-2 number, since 2×121624224482 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136656388 + ... + 136656476.

It is an arithmetic number, because the mean of its divisors is an integer number (84958848).

Almost surely, 212162422448 is an apocalyptic number.

12162422448 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 12162422448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390123520).

12162422448 is an abundant number, since it is smaller than the sum of its proper divisors (28617824592).

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

12162422448 is a wasteful number, since it uses less digits than its factorization.

12162422448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 12162422448 its reverse (84422426121), we get a palindrome (96584848569).

The spelling of 12162422448 in words is "twelve billion, one hundred sixty-two million, four hundred twenty-two thousand, four hundred forty-eight".