122020221012030 has 384 divisors, whose sum is σ = 378146367406080. Its totient is φ = 27998247404160.

The previous prime is 122020221011999. The next prime is 122020221012047. The reversal of 122020221012030 is 30210122020221.

122020221012030 is a `hidden beast` number, since 1 + 220 + 20 + 221 + 0 + 1 + 203 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122020221011994 and 122020221012012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 560071699 + ... + 560289521.

It is an arithmetic number, because the mean of its divisors is an integer number (984756165120).

Almost surely, 2^{122020221012030} is an apocalyptic number.

122020221012030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020221012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189073183703040).

122020221012030 is an abundant number, since it is smaller than the sum of its proper divisors (256126146394050).

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

122020221012030 is a wasteful number, since it uses less digits than its factorization.

122020221012030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218978 (or 218966 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122020221012030 its reverse (30210122020221), we get a palindrome (152230343032251).

The spelling of 122020221012030 in words is "one hundred twenty-two trillion, twenty billion, two hundred twenty-one million, twelve thousand, thirty".