122203254405200 has 120 divisors (see below), whose sum is σ = 301558273352952. Its totient is φ = 47555453583360.

The previous prime is 122203254405191. The next prime is 122203254405203. The reversal of 122203254405200 is 2504452302221.

It can be written as a sum of positive squares in 12 ways, for example, as 1311822041104 + 120891432364096 = 1145348^2 + 10995064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122203254405203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150213932 + ... + 151025268.

Almost surely, 2^{122203254405200} is an apocalyptic number.

122203254405200 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 122203254405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150779136676476).

122203254405200 is an abundant number, since it is smaller than the sum of its proper divisors (179355018947752).

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

122203254405200 is a wasteful number, since it uses less digits than its factorization.

122203254405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821569 (or 821558 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 122203254405200 in words is "one hundred twenty-two trillion, two hundred three billion, two hundred fifty-four million, four hundred five thousand, two hundred".