122000020120 has 128 divisors (see below), whose sum is σ = 309639905280. Its totient is φ = 42859584000.

The previous prime is 122000020111. The next prime is 122000020133. The reversal of 122000020120 is 21020000221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122000020097 and 122000020106.

It is a congruent number.

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, 8354025 + ... + 8368615.

It is an arithmetic number, because the mean of its divisors is an integer number (2419061760).

Almost surely, 2^122000020120 is an apocalyptic number.

122000020120 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 122000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154819952640).

122000020120 is an abundant number, since it is smaller than the sum of its proper divisors (187639885160).

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

122000020120 is a wasteful number, since it uses less digits than its factorization.

122000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257 (or 15253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122000020120 its reverse (21020000221), we get a palindrome (143020020341).

It can be divided in two parts, 1220000201 and 20, that added together give a palindrome (1220000221).

The spelling of 122000020120 in words is "one hundred twenty-two billion, twenty thousand, one hundred twenty".