122463005000 has 300 divisors, whose sum is σ = 338079705645. Its totient is φ = 41571600000.

The previous prime is 122463004973. The next prime is 122463005011. The reversal of 122463005000 is 500364221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 10852222276 + 111610782724 = 104174^2 + 334082^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247450.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1212504950 + ... + 1212505050.

Almost surely, 2^122463005000 is an apocalyptic number.

122463005000 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 122463005000

122463005000 is an abundant number, since it is smaller than the sum of its proper divisors (215616700645).

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

122463005000 is an frugal number, since it uses more digits than its factorization.

122463005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 122463005000 its reverse (500364221), we get a palindrome (122963369221).

The spelling of 122463005000 in words is "one hundred twenty-two billion, four hundred sixty-three million, five thousand".