122141204210400 has 144 divisors (see below), whose sum is σ = 399453837568128. Its totient is φ = 32416622784000.

The previous prime is 122141204210351. The next prime is 122141204210401. The reversal of 122141204210400 is 4012402141221.

It is a happy number.

122141204210400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122141204210401) 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, 120091156 + ... + 121103955.

It is an arithmetic number, because the mean of its divisors is an integer number (2773984983112).

Almost surely, 2^{122141204210400} is an apocalyptic number.

122141204210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122141204210400 is an abundant number, since it is smaller than the sum of its proper divisors (277312633357728).

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

122141204210400 is a wasteful number, since it uses less digits than its factorization.

122141204210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241195345 (or 241195332 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122141204210400 its reverse (4012402141221), we get a palindrome (126153606351621).

The spelling of 122141204210400 in words is "one hundred twenty-two trillion, one hundred forty-one billion, two hundred four million, two hundred ten thousand, four hundred".