122010130011000 has 512 divisors, whose sum is σ = 484701551493120. Its totient is φ = 24813331776000.

The previous prime is 122010130010971. The next prime is 122010130011127. The reversal of 122010130011000 is 110031010221.

It is a super-2 number, since 2×122010130011000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5238039 + ... + 16475961.

It is an arithmetic number, because the mean of its divisors is an integer number (946682717760).

Almost surely, 2^{122010130011000} is an apocalyptic number.

122010130011000 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 122010130011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242350775746560).

122010130011000 is an abundant number, since it is smaller than the sum of its proper divisors (362691421482120).

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

122010130011000 is a wasteful number, since it uses less digits than its factorization.

122010130011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238012 (or 11237998 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 122010130011000 its reverse (110031010221), we get a palindrome (122120161021221).

The spelling of 122010130011000 in words is "one hundred twenty-two trillion, ten billion, one hundred thirty million, eleven thousand".