122120000 has 140 divisors (see below), whose sum is σ = 314224416. Its totient is φ = 47040000.

The previous prime is 122119969. The next prime is 122120023. The reversal of 122120000 is 21221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 122120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1719965 + ... + 1720035.

Almost surely, 2^122120000 is an apocalyptic number.

122120000 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 122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157112208).

122120000 is an abundant number, since it is smaller than the sum of its proper divisors (192104416).

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

122120000 is an frugal number, since it uses more digits than its factorization.

122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 122120000 is about 11050.7918268330. The cubic root of 122120000 is about 496.1301254147.

Adding to 122120000 its reverse (21221), we get a palindrome (122141221).

The spelling of 122120000 in words is "one hundred twenty-two million, one hundred twenty thousand".