122010133120 has 128 divisors (see below), whose sum is σ = 295869160080. Its totient is φ = 48107520000.

The previous prime is 122010133103. The next prime is 122010133123. The reversal of 122010133120 is 21331010221.

It can be written as a sum of positive squares in 8 ways, for example, as 108388442176 + 13621690944 = 329224^2 + 116712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122010133094 and 122010133103.

It is not an unprimeable number, because it can be changed into a prime (122010133123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15057070 + ... + 15065170.

Almost surely, 2^122010133120 is an apocalyptic number.

122010133120 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 122010133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147934580040).

122010133120 is an abundant number, since it is smaller than the sum of its proper divisors (173859026960).

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

122010133120 is a wasteful number, since it uses less digits than its factorization.

122010133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122010133120 its reverse (21331010221), we get a palindrome (143341143341).

The spelling of 122010133120 in words is "one hundred twenty-two billion, ten million, one hundred thirty-three thousand, one hundred twenty".