122001131000 has 384 divisors, whose sum is σ = 350228136960. Its totient is φ = 39584160000.

The previous prime is 122001130969. The next prime is 122001131027. The reversal of 122001131000 is 131100221.

It is a super-2 number, since 2×122001131000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116080475 + ... + 116081525.

It is an arithmetic number, because the mean of its divisors is an integer number (912052440).

Almost surely, 2^122001131000 is an apocalyptic number.

122001131000 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 122001131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175114068480).

122001131000 is an abundant number, since it is smaller than the sum of its proper divisors (228227005960).

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

122001131000 is a wasteful number, since it uses less digits than its factorization.

122001131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 122001131000 its reverse (131100221), we get a palindrome (122132231221).

The spelling of 122001131000 in words is "one hundred twenty-two billion, one million, one hundred thirty-one thousand".