450122065340200 has 192 divisors, whose sum is σ = 1146931496061120. Its totient is φ = 162927496704000.

The previous prime is 450122065340177. The next prime is 450122065340261. The reversal of 450122065340200 is 2043560221054.

It is a super-2 number, since 2×450122065340200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173140787 + ... + 1173524413.

It is an arithmetic number, because the mean of its divisors is an integer number (5973601541985).

Almost surely, 2^{450122065340200} is an apocalyptic number.

450122065340200 is a gapful number since it is divisible by the number (40) 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 450122065340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573465748030560).

450122065340200 is an abundant number, since it is smaller than the sum of its proper divisors (696809430720920).

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

450122065340200 is a wasteful number, since it uses less digits than its factorization.

450122065340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386108 (or 386099 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 450122065340200 in words is "four hundred fifty trillion, one hundred twenty-two billion, sixty-five million, three hundred forty thousand, two hundred".