122121020030020 has 384 divisors, whose sum is σ = 288343941709824. Its totient is φ = 43074763200000.

The previous prime is 122121020029997. The next prime is 122121020030033. The reversal of 122121020030020 is 20030020121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122121020029976 and 122121020030003.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138302400499 + ... + 138302401381.

It is an arithmetic number, because the mean of its divisors is an integer number (750895681536).

Almost surely, 2^{122121020030020} is an apocalyptic number.

122121020030020 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 122121020030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144171970854912).

122121020030020 is an abundant number, since it is smaller than the sum of its proper divisors (166222921679804).

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

122121020030020 is a wasteful number, since it uses less digits than its factorization.

122121020030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122121020030020 its reverse (20030020121221), we get a palindrome (142151040151241).

The spelling of 122121020030020 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty million, thirty thousand, twenty".