122112201000122 has 32 divisors (see below), whose sum is σ = 197851887390672. Its totient is φ = 56316376756224.

The previous prime is 122112201000091. The next prime is 122112201000253. The reversal of 122112201000122 is 221000102211221.

122112201000122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 85688549889721 + 36423651110401 = 9256811^2 + 6035201^2 .

It is a super-2 number, since 2×122112201000122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 122112201000122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156295403 + ... + 157074750.

Almost surely, 2^{122112201000122} is an apocalyptic number.

122112201000122 is a deficient number, since it is larger than the sum of its proper divisors (75739686390550).

122112201000122 is a wasteful number, since it uses less digits than its factorization.

122112201000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313370402.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122112201000122 its reverse (221000102211221), we get a palindrome (343112303211343).

The spelling of 122112201000122 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred one million, one hundred twenty-two", and thus it is an aban number.