122120010 has 48 divisors (see below), whose sum is σ = 336193416. Its totient is φ = 30649344.

The previous prime is 122119969. The next prime is 122120023. The reversal of 122120010 is 10021221.

It can be written as a sum of positive squares in 4 ways, for example, as 83667609 + 38452401 = 9147^2 + 6201^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122119974 and 122120001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38379 + ... + 41438.

Almost surely, 2^122120010 is an apocalyptic number.

122120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122120010 is an abundant number, since it is smaller than the sum of its proper divisors (214073406).

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

122120010 is a wasteful number, since it uses less digits than its factorization.

122120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79847 (or 79844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122120010 is about 11050.7922792893. The cubic root of 122120010 is about 496.1301389568.

Adding to 122120010 its reverse (10021221), we get a palindrome (132141231).

The spelling of 122120010 in words is "one hundred twenty-two million, one hundred twenty thousand, ten".