122033013031300 has 180 divisors, whose sum is σ = 308999234814480. Its totient is φ = 41830314308160.

The previous prime is 122033013031261. The next prime is 122033013031381. The reversal of 122033013031300 is 3130310330221.

It is a super-2 number, since 2×122033013031300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1091678811 + ... + 1091790589.

It is an arithmetic number, because the mean of its divisors is an integer number (1716662415636).

Almost surely, 2^{122033013031300} is an apocalyptic number.

122033013031300 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 122033013031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154499617407240).

122033013031300 is an abundant number, since it is smaller than the sum of its proper divisors (186966221783180).

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

122033013031300 is a wasteful number, since it uses less digits than its factorization.

122033013031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116368 (or 116340 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 122033013031300 its reverse (3130310330221), we get a palindrome (125163323361521).

The spelling of 122033013031300 in words is "one hundred twenty-two trillion, thirty-three billion, thirteen million, thirty-one thousand, three hundred".