122006115000 has 1280 divisors, whose sum is σ = 537847833600. Its totient is φ = 25090560000.

The previous prime is 122006114953. The next prime is 122006115001. The reversal of 122006115000 is 511600221.

122006115000 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 611 + 50 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122006115001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1257794952 + ... + 1257795048.

It is an arithmetic number, because the mean of its divisors is an integer number (420193620).

Almost surely, 2^122006115000 is an apocalyptic number.

122006115000 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 122006115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268923916800).

122006115000 is an abundant number, since it is smaller than the sum of its proper divisors (415841718600).

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

122006115000 is an equidigital number, since it uses as much as digits as its factorization.

122006115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 122006115000 its reverse (511600221), we get a palindrome (122517715221).

The spelling of 122006115000 in words is "one hundred twenty-two billion, six million, one hundred fifteen thousand".