122120130400401 has 16 divisors (see below), whose sum is σ = 186087982464000. Its totient is φ = 69782869890768.

The previous prime is 122120130400397. The next prime is 122120130400439. The reversal of 122120130400401 is 104004031021221.

It is not a de Polignac number, because 122120130400401 - 2² = 122120130400397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122120130400481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33430270 + ... + 36902888.

It is an arithmetic number, because the mean of its divisors is an integer number (11630498904000).

Almost surely, 2^{122120130400401} is an apocalyptic number.

It is an amenable number.

122120130400401 is a deficient number, since it is larger than the sum of its proper divisors (63967852063599).

122120130400401 is a wasteful number, since it uses less digits than its factorization.

122120130400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147228.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122120130400401 its reverse (104004031021221), we get a palindrome (226124161421622).

The spelling of 122120130400401 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred thirty million, four hundred thousand, four hundred one".