122141333000 has 256 divisors, whose sum is σ = 301161369600. Its totient is φ = 46310400000.

The previous prime is 122141332993. The next prime is 122141333011. The reversal of 122141333000 is 333141221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454056866 + ... + 454057134.

It is an arithmetic number, because the mean of its divisors is an integer number (1176411600).

Almost surely, 2^122141333000 is an apocalyptic number.

122141333000 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 122141333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150580684800).

122141333000 is an abundant number, since it is smaller than the sum of its proper divisors (179020036600).

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

122141333000 is a wasteful number, since it uses less digits than its factorization.

122141333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122141333000 its reverse (333141221), we get a palindrome (122474474221).

The spelling of 122141333000 in words is "one hundred twenty-two billion, one hundred forty-one million, three hundred thirty-three thousand".