122633136 has 40 divisors (see below), whose sum is σ = 352003760. Its totient is φ = 40877568.

The previous prime is 122633131. The next prime is 122633143. The reversal of 122633136 is 631336221.

It is a happy number.

122633136 is a `hidden beast` number, since 1 + 22 + 633 + 1 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122633131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141505 + ... + 142368.

It is an arithmetic number, because the mean of its divisors is an integer number (8800094).

Almost surely, 2^122633136 is an apocalyptic number.

122633136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122633136 is an abundant number, since it is smaller than the sum of its proper divisors (229370624).

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

122633136 is a wasteful number, since it uses less digits than its factorization.

122633136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283890 (or 283878 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 122633136 is about 11073.9846487161. The cubic root of 122633136 is about 496.8240507388.

Adding to 122633136 its reverse (631336221), we get a palindrome (753969357).

The spelling of 122633136 in words is "one hundred twenty-two million, six hundred thirty-three thousand, one hundred thirty-six".