122421131245200 has 240 divisors, whose sum is σ = 408639471828480. Its totient is φ = 31289849794560.

The previous prime is 122421131245163. The next prime is 122421131245219. The reversal of 122421131245200 is 2542131124221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8071264 + ... + 17606463.

It is an arithmetic number, because the mean of its divisors is an integer number (1702664465952).

Almost surely, 2^{122421131245200} is an apocalyptic number.

122421131245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122421131245200 is an abundant number, since it is smaller than the sum of its proper divisors (286218340583280).

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

122421131245200 is a wasteful number, since it uses less digits than its factorization.

122421131245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25677914 (or 25677903 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 122421131245200 its reverse (2542131124221), we get a palindrome (124963262369421).

The spelling of 122421131245200 in words is "one hundred twenty-two trillion, four hundred twenty-one billion, one hundred thirty-one million, two hundred forty-five thousand, two hundred".