122020011000 has 192 divisors, whose sum is σ = 418079581920. Its totient is φ = 32092761600.

The previous prime is 122020010977. The next prime is 122020011007. The reversal of 122020011000 is 110020221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020011007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564139 + ... + 749861.

Almost surely, 2^122020011000 is an apocalyptic number.

122020011000 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 122020011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209039790960).

122020011000 is an abundant number, since it is smaller than the sum of its proper divisors (296059570920).

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

122020011000 is a wasteful number, since it uses less digits than its factorization.

122020011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185823 (or 185806 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122020011000 its reverse (110020221), we get a palindrome (122130031221).

The spelling of 122020011000 in words is "one hundred twenty-two billion, twenty million, eleven thousand".