122013333120 has 256 divisors, whose sum is σ = 444775161600. Its totient is φ = 27870068736.

The previous prime is 122013333089. The next prime is 122013333131. The reversal of 122013333120 is 21333310221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35170746 + ... + 35174214.

It is an arithmetic number, because the mean of its divisors is an integer number (1737402975).

Almost surely, 2^122013333120 is an apocalyptic number.

122013333120 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 122013333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222387580800).

122013333120 is an abundant number, since it is smaller than the sum of its proper divisors (322761828480).

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

122013333120 is a wasteful number, since it uses less digits than its factorization.

122013333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122013333120 its reverse (21333310221), we get a palindrome (143346643341).

The spelling of 122013333120 in words is "one hundred twenty-two billion, thirteen million, three hundred thirty-three thousand, one hundred twenty".