122180401 has 16 divisors (see below), whose sum is σ = 146474496. Its totient is φ = 99717696.

The previous prime is 122180371. The next prime is 122180417. The reversal of 122180401 is 104081221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122180401 - 2⁷ = 122180273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122180441) 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, 7155 + ... + 17191.

It is an arithmetic number, because the mean of its divisors is an integer number (9154656).

Almost surely, 2^122180401 is an apocalyptic number.

It is an amenable number.

122180401 is a deficient number, since it is larger than the sum of its proper divisors (24294095).

122180401 is a wasteful number, since it uses less digits than its factorization.

122180401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 122180401 is about 11053.5243700822. The cubic root of 122180401 is about 496.2119078596.

The spelling of 122180401 in words is "one hundred twenty-two million, one hundred eighty thousand, four hundred one".