122114340201300 has 72 divisors (see below), whose sum is σ = 356619523702176. Its totient is φ = 32259489240960.

The previous prime is 122114340201283. The next prime is 122114340201307. The reversal of 122114340201300 is 3102043411221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122114340201307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902060427 + ... + 1902124626.

It is an arithmetic number, because the mean of its divisors is an integer number (4953048940308).

Almost surely, 2^{122114340201300} is an apocalyptic number.

122114340201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122114340201300 is an abundant number, since it is smaller than the sum of its proper divisors (234505183500876).

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

122114340201300 is a wasteful number, since it uses less digits than its factorization.

122114340201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804185177 (or 3804185170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122114340201300 its reverse (3102043411221), we get a palindrome (125216383612521).

The spelling of 122114340201300 in words is "one hundred twenty-two trillion, one hundred fourteen billion, three hundred forty million, two hundred one thousand, three hundred".