122012000 has 192 divisors, whose sum is σ = 339655680. Its totient is φ = 42688000.

The previous prime is 122011999. The next prime is 122012021. The reversal of 122012000 is 210221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2067971 + ... + 2068029.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^122012000 is an apocalyptic number.

122012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

122012000 is an abundant number, since it is smaller than the sum of its proper divisors (217643680).

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

122012000 is a wasteful number, since it uses less digits than its factorization.

122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 122012000 is about 11045.9042183064. The cubic root of 122012000 is about 495.9838270828.

Adding to 122012000 its reverse (210221), we get a palindrome (122222221).

The spelling of 122012000 in words is "one hundred twenty-two million, twelve thousand".