122012352 has 336 divisors, whose sum is σ = 458663040. Its totient is φ = 31449600.

The previous prime is 122012327. The next prime is 122012437. The reversal of 122012352 is 253210221.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 931327 + ... + 931457.

Almost surely, 2^122012352 is an apocalyptic number.

122012352 is a gapful number since it is divisible by the number (12) 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 122012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229331520).

122012352 is an abundant number, since it is smaller than the sum of its proper divisors (336650688).

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

122012352 is a wasteful number, since it uses less digits than its factorization.

122012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122012352 is about 11045.9201518027. The cubic root of 122012352 is about 495.9843040472.

Adding to 122012352 its reverse (253210221), we get a palindrome (375222573).

The spelling of 122012352 in words is "one hundred twenty-two million, twelve thousand, three hundred fifty-two".