122141521152 has 216 divisors, whose sum is σ = 404243024640. Its totient is φ = 34744135680.

The previous prime is 122141521129. The next prime is 122141521207. The reversal of 122141521152 is 251125141221.

122141521152 is a `hidden beast` number, since 1 + 221 + 415 + 21 + 1 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3676777 + ... + 3709847.

Almost surely, 2^122141521152 is an apocalyptic number.

122141521152 is a gapful number since it is divisible by the number (12) 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 122141521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202121512320).

122141521152 is an abundant number, since it is smaller than the sum of its proper divisors (282101503488).

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

122141521152 is a wasteful number, since it uses less digits than its factorization.

122141521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33329 (or 33312 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

Adding to 122141521152 its reverse (251125141221), we get a palindrome (373266662373).

The spelling of 122141521152 in words is "one hundred twenty-two billion, one hundred forty-one million, five hundred twenty-one thousand, one hundred fifty-two".