122000016 has 40 divisors (see below), whose sum is σ = 319166080. Its totient is φ = 40150656.

The previous prime is 122000003. The next prime is 122000029. The reversal of 122000016 is 610000221.

It is an interprime number because it is at equal distance from previous prime (122000003) and next prime (122000029).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121999965 and 122000010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12295 + ... + 19878.

It is an arithmetic number, because the mean of its divisors is an integer number (7979152).

Almost surely, 2^122000016 is an apocalyptic number.

122000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122000016 is an abundant number, since it is smaller than the sum of its proper divisors (197166064).

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

122000016 is a wasteful number, since it uses less digits than its factorization.

122000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32263 (or 32257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122000016 is about 11045.3617414732. The cubic root of 122000016 is about 495.9675880659.

Adding to 122000016 its reverse (610000221), we get a palindrome (732000237).

The spelling of 122000016 in words is "one hundred twenty-two million, sixteen", and thus it is an aban number.