122255136 has 48 divisors (see below), whose sum is σ = 356580000. Its totient is φ = 40751424.

The previous prime is 122255093. The next prime is 122255137. The reversal of 122255136 is 631552221.

It is a happy number.

122255136 is a `hidden beast` number, since 122 + 25 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (122255137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69886 + ... + 71613.

It is an arithmetic number, because the mean of its divisors is an integer number (7428750).

Almost surely, 2^122255136 is an apocalyptic number.

122255136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122255136 is an abundant number, since it is smaller than the sum of its proper divisors (234324864).

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

122255136 is a wasteful number, since it uses less digits than its factorization.

122255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141518 (or 141504 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 122255136 is about 11056.9044492570. The cubic root of 122255136 is about 496.3130611214.

The spelling of 122255136 in words is "one hundred twenty-two million, two hundred fifty-five thousand, one hundred thirty-six".