122120401 has 8 divisors (see below), whose sum is σ = 139250664. Its totient is φ = 106095360.

The previous prime is 122120399. The next prime is 122120419. The reversal of 122120401 is 104021221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40000 + 122080401 = 200^2 + 11049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122120401 - 2¹ = 122120399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276070 + ... + 276511.

It is an arithmetic number, because the mean of its divisors is an integer number (17406333).

Almost surely, 2^122120401 is an apocalyptic number.

It is an amenable number.

122120401 is a deficient number, since it is larger than the sum of its proper divisors (17130263).

122120401 is a wasteful number, since it uses less digits than its factorization.

122120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552611.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122120401 is about 11050.8099703144. The cubic root of 122120401 is about 496.1306684542.

Adding to 122120401 its reverse (104021221), we get a palindrome (226141622).

The spelling of 122120401 in words is "one hundred twenty-two million, one hundred twenty thousand, four hundred one".