122747136 has 72 divisors (see below), whose sum is σ = 340939200. Its totient is φ = 39131136.

The previous prime is 122747101. The next prime is 122747137. The reversal of 122747136 is 631747221.

It is a junction number, because it is equal to n+sod(n) for n = 122747097 and 122747106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122747137) by changing a digit.

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, 14190 + ... + 21138.

Almost surely, 2^122747136 is an apocalyptic number.

122747136 is a gapful number since it is divisible by the number (16) 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 122747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170469600).

122747136 is an abundant number, since it is smaller than the sum of its proper divisors (218192064).

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

122747136 is an equidigital number, since it uses as much as digits as its factorization.

122747136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6977 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 122747136 is about 11079.1306518156. The cubic root of 122747136 is about 496.9779525918.

The spelling of 122747136 in words is "one hundred twenty-two million, seven hundred forty-seven thousand, one hundred thirty-six".