122142033420 has 192 divisors, whose sum is σ = 378739984896. Its totient is φ = 29162833920.

The previous prime is 122142033407. The next prime is 122142033421. The reversal of 122142033420 is 24330241221.

It is a happy number.

122142033420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122142033421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45625122 + ... + 45627798.

It is an arithmetic number, because the mean of its divisors is an integer number (1972604088).

Almost surely, 2^122142033420 is an apocalyptic number.

122142033420 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 122142033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189369992448).

122142033420 is an abundant number, since it is smaller than the sum of its proper divisors (256597951476).

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

122142033420 is a wasteful number, since it uses less digits than its factorization.

122142033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122142033420 its reverse (24330241221), we get a palindrome (146472274641).

The spelling of 122142033420 in words is "one hundred twenty-two billion, one hundred forty-two million, thirty-three thousand, four hundred twenty".