122121121323000 has 128 divisors (see below), whose sum is σ = 381447464785920. Its totient is φ = 32528917289600.

The previous prime is 122121121322971. The next prime is 122121121323101. The reversal of 122121121323000 is 323121121221.

122121121323000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20285472 + ... + 25607471.

It is an arithmetic number, because the mean of its divisors is an integer number (2980058318640).

Almost surely, 2^{122121121323000} is an apocalyptic number.

122121121323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121121323000 is an abundant number, since it is smaller than the sum of its proper divisors (259326343462920).

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

122121121323000 is a wasteful number, since it uses less digits than its factorization.

122121121323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45893854 (or 45893840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122121121323000 its reverse (323121121221), we get a palindrome (122444242444221).

The spelling of 122121121323000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred twenty-three thousand".